if x#0 1. Let f(x) = if x= 0 Which of the following statements is/are true about the function f(x)? L f(0) exists II. lim f(x) exists x-0 III. f is continuous at x = 0 A. Tonly B. Il only C. Tand Il only D. 1, II, and II

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: х+3if x1 6. lim x→1 f(x) f(x)

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

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Q: Use the given graph of the function f to find the following limits: 1. lim f(x) = 5 x 17 2. lim…

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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: 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: Sx² 15 a. Find lim f(x). if x + 2 2. Let f(x) = } if x = 2 X→2 b. Find f(2). Is f(x) continuous at x…

A: Proceed as shown below...

Q: lim 극 et – 1 x-1

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Q: 2. Assume all given functions are continuous. If lim (ƒ(x) – g(x)) = 10 and ƒ(5) = −8 x → 5 Find…

A: The objective of the question is to find the value of g(5) given that the limit as x approaches 5 of…

Q: Is the function f(x) : 1 continuous or discontinuous on [2,+∞)? Vx - 2 Is the function f(x) : 1…

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Q: 2. Assume all given functions are continuous. If lim (f(x) - g(x)) = 10 and ƒ(5) = -8 x → 5 Find g…

A: The objective of this question is to find the value of g(5) given that the limit as x approaches 5…

Q: 2) a) Recall that the definition of the derivative of a function f at a point a is given by f(a + h)…

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