C. Evaluate the following limits. (x+2; x>-2 [2x; x - 3; x >-1 x<-1 Given: f(x) =- Given: f(x) = < |-1; x<-2 1. lim f(x) 4. lim f(x) X-2 2. lim f(x) 5. lim f(x) X-2 3. lim f(x) 6. lim f(x)

Q: 7ーズ 1. Find lim using a. Table of values f(x) b. Limit rules

A:

Q: lim,-10 f(x) a. b. lim, ,-2+ f(x) 2 c. lim,-s f(x) d. lim,46 f(x)

A:

Q: 4: x>3 28. f(x)=-1; x= 3 -4; Evaluate a. lim f (x), b. lim f(x), and c. lim f (x). x<3

A: We can answer all the three subparts as below

Q: B. Factoring method 1. Lim x-3/x2-18x+45; x= 3 2. Lim x2-64/x+8 ;x= -8 3. Lim x2+8x+16 ;x-1

A: There is the solution.........

Q: ; Be h(x) = - 2x + 1, x + 3 calculate lim h(x) 7,x = 3 x-3

A:

Q: The graph below is the function f(x) 5 -4 lim f(x) x-0 -5 -4 -3 -2 -1 3 2 1 4 -2 -3 = 4- t-st 1 2 3…

A:

Q: V6 - 5x , x > -1 Determine lim x-2 wheref ( x %3D 2x2 - 5x , x < -1

A:

Q: a. Estimate the value of lim f(x).

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: 2. Evaluate the following limits. -7r-8 (a) lim 4x +5 (b) lim 100 3r2-3.r +4 (c) lim

A:

Q: Determine the right- and left-sided limits of the following function: lim x-3- (x + 1) lim x-3+x - 3

A:

Q: The graph below is the function f(x) -5 -4 -3 -2 f(0) = 5 4 3 2 1 lim f(x) = x-0 + -2 -3 -4 --5- 2 3…

A:

Q: Evaluate the following limits analytically. Vr+6-5 lim x-19 (a) x+2-3 (b) lim x-7 -5x +6x (c) lim…

A: In the question it is asked to calculate the limit of the following functions given:

Q: Let f(x) = 2x2 +1. Evaluate f(4 + h) - f(4) lim h-0 h

A: Given, The function f(x)=2x2+1.

Q: For the function f(x) shown below, determine lim f(x). f(x) = x² - 10 -3 - 2x for for +-←æ x -4

A:

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

A:

Q: 2x-1: x>1 29. f(x)=-1: x=1 1-4x; x<1 Evaluate a. lim f (x). b. lim f (x), and c. lim f(x). 27, 7,

A: Given query is to find the indicated limit.

Q: Find. 1) a. lim f(x) and b. lim f(x). 3- 4-

A: Answer and explanation is given below..

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: B. Determine if lim f(x) = f (c) 24C 1. 18)-x+2; c =-1

A: f(x) = x+2 c = -1 f(c) = f(-1) = -1 + 2 f(c) = f(-1) = 1

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

A:

Q: Find lim h→0 lim h0 f(3+h)-f(3) h f(3+h)-f(3) h - if f(x)=x² +8. (Simplify your answer.)

A: To find the limit limh→0f(3+h)−f(3)h for the given function f(x)=x2+8, let's substitute the function…