For which of the following does lim f(x) = 0 ? 1.f(x) = II. f(x): III. f(x) In x x99 ex In x X99 ex O I and III only O I and II only O II only O III only O I only

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: Graph the curves y = x1/3(x - 4)

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Q: 3 Use the Squeeze Theorem to evaluate lim f(x), where f(x)=x²cos (-). x A B C D - 0 0 1 8 -0-x

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Q: Answer the following True or False: If lim f(x) exists, then f(x) is a differentiable function at x…

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Q: If 3x - 5 ≤ f(x) ≤ x² - 3x + 4 for x ≥ 0, find lim f(x). x →3

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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: , if x + -1 -2, if x = -1 Prove that f(x) = {x+1 is continuous at a = -1 by showing the following.…

A:

Q: which of the following statements is true about the function             3x-2, if x&lt;2 r(x)=…

A: We have given,            3x-2, if x&lt;2r(x)=     -8      if x=-2             5x+4 if x&gt;2

Q: 2. What is the lilm f(x)?

A: From the given graph in extreme left side we can clearly see that. If x tends to minus infinity then…

Q: 2. Evaluate lim,.

A: (1) Consider the provided limit, limx→91x-191x-9 Find the limit of the above expression. Simplify…

Q: х6 + x5 — х3+ 2х — 5 9. lim 2x4 + 4x3 +2х2 + 1 9- 5x6 — 2x3 + 5х + 5 10. lim х6 — 4x3 + 10 X -0 -

A:

Q: 3. If f is a continuous function, what can you say about lim f(x)?

A: Given thatf is continuous To determinelimx→1f(x)

Q: Find the value of lim f(x), if x→7+ S8x + 2 x 7 f(æ) = 45 9. O 16 O 87 O 57

A:

Q: (х-1) Evaluate lim,→1 (x²–1) O None 1 4 1 1/2 /3

A: Here we have to find the  limitx--&gt;1[(x-1)/(x2-1)]

Q: 4х — 1 4x2 + 3x - Find lim f(x) if 5. x2

A:

Q: |x-2] F(x) Does lim F(x) exist? X-2 3. %3D x2+x-6

A: We have to find

Q: Evaluate Lim マ-1 X-1 区 -1

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Q: ах Determine the values of a and b such that lim Vax +b – 3 = 5. x→0 bx

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Q: 1 if x-1 4. lim x→- 1 5. x f(x) f(x)

A:

Q: x²-49 X-7x²-7x 2. Evaluate lim: 3. Evaluate lim √x+1-3 X-8 x-8

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Q: 1 Evaluate: lim - In x X - 1 X-1 O-1 O 1 O 1 1 2 1/2

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Q: f(x, b) – f(a, b) fe(a, b) = lim x - a OTrue False

A: Given a limit : fxa,b=limx→a f(x,b)-f(a,b)x-a We need to find it it's true or false. Let's begin.

Q: A. Find the limit for the following functions: 1. lim x³-1 x1 x2 - 1 sin(√x-3) 2. lim x-9 x-9

A: 1. 2.