PART I. EVALUATING LIMITS Construct a table of values to investigate the following limits: 10 a. lim T-3 x-2 10 b. lim R7 x-2 1/x f. lim f(x) if f(x) = if x<-1 %3D x2 - 2 if x >-1 1/c g. lim f(x) if f (x) = if a <-1 2x + 1 C. lim 2 T-3 エ→-1 x2-2 if a > -1 r2 +6 d. lim r0 r2 +2 x+3 if x < 1 h. lim f(x) if f(x) = 2.r if a 1 1. エ→1 e. lim r1 +1 V5.r-1 if r 1

Q: Determine the following limits. (a) lim f(r) (b) lim f(r) H-1 {(x) (d) lim f(x) (c) lim f(r) (e) lim…

A: GivenA graph

Q: 5x - 10x2-7x lim 5- 8x-5x3 5x – 10x? - 7x 1. %3D 2. lim 5 - 8x 5x3 II

A: I will solve this by taking the common factor out of denominator and numerator and cancelling it.

Q: (a) lim f(x) (b) lim f(x) (c) lim f(x) (d) lim f(x)

A: Given,

Q: -5 -4 Ef +3 graph below is the function f (x) -3-2 -3) = lim f(x) = -3- f(x) = f(x)= 5 4 3- 2 +…

A: Explanation of the answer is as follows

Q: lim 5x +2 1. -1 lim 3x2 – 6x +1 2. +4 lim vx 3. *+2 3. m vx2- 5x + 7

A: We’ll answer the first three sub-parts since the exact one wasn’t specified. Please submit a new…

Q: Let f(x) be given by the graph below: 20 y = f(x) 10 -20 -10 10 20 -10 From the graph, evaluate the…

A: The graph of the function f(x) is given by

Q: f(2 + h) – f(2) Find lim if f(x) = x + 7. h h→0 f(2 + h) – f(2) lim | (Simplify your answer.) h h→0

A: Here I am attaching image so that you understand each and every step.

Q: a) lim f(x) : f) lim f(x) = 『ー4 b) lim f(x) - X-3 8) f(-3)= c) lim f(x) =_ h) lim f(x) =- 『→ー2 X -2…

A:

Q: 2x 1 if x 2 . Sketch the graph of f(x) = x 4. a) lim f(x) X-2 b) lim f(x) x-2+ c) lim f(x) X-2

A:

Q: For the function g(x) graphed here, find the following limits or explain why they do not exist. a.…

A: Given graph is

Q: II. Given the graph below, evaluate the following limits: lim b* 1.2 lim b -1 1. lim b 0 2. 3.

A: The definition of limits in layman words is when we look at a graph of a function, what value does…

Q: 4. Find the following limits: (a) (b) 2 lim-3 x-3 - 2 4 3-x 12x - 4x² lim x3+x² - 6x +9 1

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Q: Determine the limit: 0.3 x 3 lim X- 00 Submit Answer Tries 0/8 Determine the limit: lim (1+4 x)1/x…

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Q: (A) Find the following Limits. x + 5 2. limy-3 f (x) if f(x) = }2x²+4 , x 4

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Q: Use the graph to find the following limits and function value. a. lim f(x) x-3" b. lim f(x) x-3* c.…

A:

Q: Evaluating the following limits: Vx+5-V5 a. lim x-0 2x b. lim x-2 x-2 X+1 3 c. lim 3x cot(2x)…

A: Limit of the indeterminate forms

Q: 4. Evaluate the following limits. 3x+1 a. lim x⇒-2 2-x b. lim x³+27 X-3 x+3

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Q: For the function f whose graph is given, determine the following limits. a. lim f(x) x-4 d. lim f(x)…

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