Find the x-values (if any) at which f is not continuous. Which of the discontinuities are removable? f(x) = 4/(x − 5)

Q: Find the x -values (if any) at which f(x) is not continuous, where (x-5

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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: f(x) = 14-x2 To find: The values of x at which function is not continuous.

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

A: Rearrange the the given rational function. As the denominator tends to 0 the function is undefined.…

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

A: Given function is

Q: For the continuous function f(x), if f’(-4) does not exist, then x=-4 is a critical point.

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

A: We know,  ln(x) is continuous for all x>0 Polynomial function of x is continuous for all real x.…

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

A: The denominator can not be 0.  So, x≠0 and x-1≠0  Or, x≠0 and x≠1

Q: If f is continuous on [a, b] and "If(x)| dx = 0, what can you conclude about f ?

A: Solution:Given If f is continuous on a,b and ∫abf(x) dx = 0To conclude about f ?

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

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Q: If f is differentiable at a number, x, then f is continuous at x.

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

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

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Q: Suppose f' (x) = g (x) (x + 1) (x – 2)´, where g (s) is a continuous function which is always…

A: When f'(x)>0 then function increasing when f'(x)<0 then function decreasing

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

A: Consider two functions f(x),g(x) defined for all real numbers. Let the two functions be continuous…

Q: Use a graph to determine whether the given function is continuous on its domain. H Sx + 2 if x < 0…

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Q: Find the x-values (if any) at which the functionf(x)= is not continuous. Which of the…

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Q: Find a value of x, if any, at which/(x)= Vx- 27 is not continuous.

A: We will check the continuity of the function

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

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

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Q: define the function at 5 so that it becomes continuous at 5.

A: First, we rationalize the function, so that it becomes continuous at 5 which is shown on the board

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

A: Given :             f(x) =1(4-x2)

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Q: Use the given derivative to find all critical points of f, and at each critical point determine…

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Q: Use limits to determine if f(x) = 1 is continuous at x = 0. (z+2)?

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Q: 2- For what value of the costant c is the function continuous at every number? F(x) = {x+c if x<2…

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Q: The function f(x)=³ in (x) is continuous everywhere except x (х-1) at x=0 and at x=1. When…

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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- fx=xx2-4 To find- The values of x at which the function is not continuous. Concept used-  The…

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

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Q: If f(2) is a continuous function at a point z, , then f(z) is differentiable at z, . But the…

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Q: If a function f(x) is not defined at x-a, then it is not continuous at x-a.

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Q: g(x) = sec(x) %3D

A: To find all the intervals the function g(x)=sec(x) is continuous

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Q: Use limits to determine if f(x) = is continuous at x = 1. z-2

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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 that  f(x)=tanx2

Q: Where is f(x) = e* continuous?

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

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Q: 86. If f is continuous and f (x) dx = 4, finc

A: Given that: ∫09f(x)dx=4

Q: Determine if g (x) = is continuous at x = 0

A: A function f(x) is continuous at x=a if, limx→af(x)=f(a). We try to evaluate limx→04-xx and f(0) and…

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

A: The function given is  fx=5-x. The greatest integer function x is discontinuous at the integer…

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Q: If a function f is continuous at 0, show that g(x) = xf(x) is differentiable at 0 and find the value…

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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: fx=1x2+1 To find discontinuities find the value of x at x2+1=0 x2+1=0x2=-1 But there exists…

Q: 3. What value of k would make f (x) continuous at x = 3 ? 3.

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Q: Show that x³, if x 0 is not continuous at x = 0. %3D

A: According to the problem, we have

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

A: Given f(x) = ln(x+1)  , x≥03-x2     ,  x&lt;0

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

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Q: B) Show that f(x) sin for x * 0. for x= 0. is not continuous.

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Q: Find the value of fa) which makes f(x) continuous at x = a (if exists) where X - x f(x) a =

A: Given function is fx=x-xx Find the value of fa=0.

Q: Suppose that f(x) is a continuous function on the interval [0, T] . If f(x)=(sin x)ª for 0<x<T, then…

A: we have to find the value of given function. the solution is following.

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.