Which of the following functions f has a removable discontinuity at a? If the discontinuity is removable, find a function g that agrees with f for x not equal a and is continuous at a.

Q: Consider the function f with domain (-2, x): 3|r2 – | if – 2<I<1 2.r2 + 2.r 4 f(1) = 3 if r = 1…

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Q: Consider the following. f(x) = 1-x Find the x-values at which f is not continuous. Which of the…

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Q: Which of the following functions f has a removable discontinuity at a? If the discontinuity is…

A: Since you have asked multiple questions in a single request we would be answering only the first…

Q: 4 x if x 2 3 = x - 2 if 0 < x < 3 x-1 if x <0 %3D

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Q: Find the x-values (if any) at which f is not continuous. Which of the discontinuities are removable?…

A: Consider the provided function, Given, fx=x-3     greatest integer function We need to find the…

Q: Is the following function continuous over all real values of 'x'? If applicable identify any…

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Q: Which of the following functions. f has a removable discontinuity at a? If the discontinuity is…

A: As per our guidelines, we can answer only one question in a single request. Kindly re-post the other…

Q: Is the given statement true or false? Justify your answer. 'If the function f is continuous at a,…

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Q: Determine whether each of the following functions is (a) continuous (b) differentiable.

A: As per rule of bartleby we can solve only one question at a time and we can solve only three subpart…

Q: Determine if the following function is continuous or discontinuous at x = 0? 4 +5 f(z) = 9-3z

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Q: For what value of a is the following function continuous at every x?

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Q: Determine whether each of the following functions is (a) continuous (b) differentiable 2. f(x) = Vx…

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Q: Determine whether each of the following functions is (a) continuous (b) differentiable 1. f(x) = x²…

A: Continuous and differentiable checking

Q: On which of the following intervals is the function f(x) = x3 differentiable? (0, +∞0) 0 (-00, +∞0)…

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Q: Determine if the following functions are continuous at the given value of x. 1. f(x) = 3x? + 2x + 1…

A: continuty

Q: Is the following function continuous F(x)=x cot 5x

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Q: Find the x-values (if any) at which f is not continuous. Which of the discontinuities are removable?

A: Given: Find the x-values (if any) at which f is not continuous. Which of the discontinuities are…

Q: Let f be the function defined below, wherecis a constant. If f is continuous at x = 1, what is the…

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Q: Determine whether each of the following functions is (a) continuous (b) differentiable 1. f(x) = x2…

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Q: Consider the function g :ℕ→ℝ  where  g(n) = 1 if n is odd and g(n) = 2 if n is even. Is g continuous…

A: Given function is g :ℕ→ℝ  where  g(n) = 1 if n is odd and g(n) = 2 if n is even.

Q: Find the x-values (if any) at which f is not continuous. Which of the discontinuities are removable?…

A: fx=4x-6 The given function is not defined at x=6. It has a vertical asymptote at x=6. Therefore,…

Q: Which of the following are necessary for the function f(x) to be continuous at x=a? Select all of…

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Q: Determine whether the following function is continuous at the given point x = 3 За? + 17х — 6 1 -…

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Q: Find the numbers at which f is discontinuous and determine whether f is continuous from the right,…

A: Here we have to find the number at which f is discontinuous and determine whether f is continuous…

Q: For the function g(x) in part (c), how would you "remove the discontinuity"? In other words, how…

A: First, we find limx→3g(x). We rewrite g(x) as, g(x)=(x-3)(x-1)(x-3) If x≠3 we have…

Q: Let f be the following piecewise-defined function. 2 x+7 for xs5 f(x) = 5x +7 for x> 5 (a) Is f…

A: Solve the following

Q: 3. f(x) = v2 –x at x = 1 %3D

A: For f(x)=2-x to be continuous at x=1.                  limx→1-f(x)=limx→1+f(x)⇒…

Q: I Determine whether each of the following functions is (a) continuous (b) differentiable 1. f(x) =…

A: Note: Since you have posted multiple questions we will solve the first question for you. If you want…

Q: Find the x-values (if any) at which f is not continuous. Which of the discontinuities are removable?

A: to find the x values at which f is not continuous

Q: Determine whether the following function is continuous at a. f(x) = /x- 7; a = 1

A: Topic :- Continuity

Q: ii) f(x) = x*-1 %3D x²-1

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Q: Which of the following functions f has a removable discontinuityat  a ? If the discontinuity is…

A: f(x)=x4-1x-1 At a=1 f(1)=14-11-1=00 But…

Q: Which of the following functions f  has a removable discontinuity at a? If the discontinuity is…

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Q: Consider the following f(x)= 2/4-x2 Find the x-values at which f is not continuous. Which of the…

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Q: Determine if the following functions are continuOus at the given value of x. 1. f(x) = 3x² + 2x + 1…

A: To check the continuity of the function, check the left hand and right hand limit of the function if…

Q: Which of the following functions is continuous at x = 4? O csc(). I-4 --2

A: Given:- cac(πx/4)  1/(x2-4)  √x/(x-4)  1/(√x-2) To find:- Which of following is continuous at x=4

Q: а. Determine the discontinuities of the following functions and state why the function fails to be…

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Q: Compute the value of a to make sure the following function is continuous. (ах + 1 x 3

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Q: sketch the given function and determine whether it is piecewise continuous on[0,∞).

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Q: Is the following function continuous over all real values of 'x'? If applicable identify any…

A: Step 1:Given f(x) = X2 - 2x + 1.f(x) = (x-1)2 = y.When x = 0,     y = 1         y = 0,     x = 1

Q: Determine whether each of the following functions is (a) continuous (b) differentiable 1. f(x) = x?…

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Q: a) f(x) at x = 0 b) fx) 3x at x = -4 X-7

A: a) f(x)=6x at x=0b) f(x)=3xx-7 at x=-4

Q: Let f be the following piecewise-defined function. +7 for xs3 f(x) = { 3x +7 for x>3 (a) Is f…

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Q: The föllowing function is differentiable at all x except at: a-1 cod x=2 b=-1 and x=2

A: To solve the following problem

Q: For what value of a is the following function continuous at every x? x²-165, x<15 f(x) = %3D 2ах, X2…

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Q: For the functio of g(a), where

A: “Since you have asked multiple questions in a single request, we will be answering only the 1st…

Q: Consider the following. 7 f(x) =X Find the x-value at which f is not continuous. Is the…

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Q: Is the following functions continuous or not at z = 0?

A: To check whether the following function is continuous at z=0fz=Rez1+z

Limits

When it comes to calculus, limits are considered to be a very important topic of discussion. The main importance of limit lies in expressing the value of a function as it gets closer to a certain value. Also, limits can help you to understand other topics, such as continuity and differentiability better. In a broader sense, every calculus notion is a limit. Other branches of calculus have also been derived from limits.