1 Let f(x)=x²e² the value of — lim [ƒ(x)]¹/* i is: a) b) 1 d) 1 e c) 0 1 -19 4e

Q: (х-а) 2. lim Vx-Va X→a

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Q: 3. Let f(2) = if z + 2i, while f(2i) = 3+4i, is f(2) continuous at z = 2i? 2- 2i 4. Evaluate lim (az…

A: 3)Given:

Q: |x+1| if x + -1 13. Consider the function f(x) = {x² - 1 Evaluate lim f(x). if x = -1 A) - C) DNE B)…

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Q: Given that f(x) = 2x² +1, find:“ f(x+h)- f(x) f(x+h)– f(x). lim h→0 h h

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Q: Use (8) definition to show that lim 2-0 Z 0.

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Q: Which of the following statements about the function y = ƒ(x)graphed here are true, and which are…

A: Here the given statement is  And also given the graph of the function as

Q: Find the expression for the tangent slope dy/dx for points on the Polar curve r= 6 +12 cosθ

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Q: 1 if x<1 1. Consider the function f(x)= . Evaluate lim f(x). if x 21 2х - 3 C) 0 D) 1 A) 2 В) -1

A: Here we have to use the concept of limit.

Q: Evaluate using the identity a3-b3 = (a-b)(a2+ab+b2)

A: We have given a limit function;

Q: 3. Describe the interval(s) on which the function is continuous. c) S(x)= x-1 2, x= 1

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Q: Find the value of lim f(x), if x→3- S8x2 – 3 |5х + 7 f(æ) = x 3 O 69 57 66 45 22

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Q: Let a and b be constants in R. and If lim (f(x) - (ax + b)) = 0, what is the value of b? x→→∞0 b= =…

A: Solution to find the value of b  of this limiting problem is as follow.

Q: Which of the following statements about the function y = ƒ(x)graphed here are true, and which are…

A: x → -1- means, x is approaching -1 from the left.

Q: Evaluate the limit lim f(t) where ƒ(t) = = lim f(t) = i 00-11 00-11 (9+17) 2 for t = 0.

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Q: USE SQUEEZE Theorem do poho Lim I'm x² esin(x) и х 0+X

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Q: Please

A: To find:

Q: Consider the function f defined on the domain -0.5 s x s 0.5 with f(0) = 1, and 0.5 lim h 0 f(x+h)-…

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Q: Use a u substitution to find Vx – 7 – 2 lim | x-15 x – 15

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Q: Given f(x) = x² + Va, then f(4+ h) – f(4) - a) lim h>0 h f(æ) – f(1) x – 1 b) lim Note: write either…

A: This question can be solved using the concept of function and rationalization.

Q: Which of the following statements about the function y = ƒ(x)graphed here are true, and which are…

A:

Q: xy Let f(x, y) and let L = lim(z,4)→(0,0) f(x, y). Which of the following statements is correct? 5x2…

A: To find  L=limx,y→0,0fx,yWhere fx,y=xy5x2+4y2

Q: Given h(x)= Vx +9 - 3 a) Determine the value of x where h(x) is discontinuous. b) Find lim h(x). X-0

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Q: If f (x) is continuous e (a,b], we define | f (x) dx= lim | f(x) dx . on Xa+ A True B False

A: Solution

Q: Assume that rs f(x) < 3r. Compute lim f (x)

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Q: x² – y + 1 f (x, y) x² – y? + 1 -

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Q: x² - 1 if x 2 x→2* а) 4 b) – 3 с) 3 d) – 4

A: Given function is  g(x) = x2-1   if x≤2x+2    if  x &gt;2 the function is defined in two intervals.…

Q: Evaluate cot x – cos x lim z¬7/2 (T – 2æ)°

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Q: x2 2. Find lim x→0 2ª – 1

A: We want to find limit of the function.