(-2-x)²+5 if x ‡ - 3 = 4x + 17 if x = -3 the following limits. Enter "DNE" if the limit does not exist. f(x) = f(x) = Let f(x) Calculate lim I-3- lim 2-3+ lim I-3 f(3) = f(x) =

Q: If 3x - 4 s f(x) sx2 - 3x + 5 for x 2 0, find lim f(x). x-3

A: Given, 3x-4 ≤ fx ≤ x2-3x+5              for  x ≥ 0 We have to find limx→3fx

Q: x²-4x+4 1. Find lim- 2 x+x-6

A: Part 1,

Q: If 2x - 2s f(x) sx² - 2x + 2 for x 2 0, find lim f(x). x-2

A:

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: x* +x² – 1 limx→c x²+5

A:

Q: (x3 - 3x2 +6- 2x) 10. Use a table to estimate lim X-+3 X- 3

A: Given limx→3 x3-3x2+6-2xx-3-1

Q: Sfsin(r – y kýyd . B. (i) Evaluate 00 sVx+1 lim (ii) Evaluate * 4Vx +3

A:

Q: x2 + 8x + 15 if x 2. Find lim f(x). x-2+

A:

Q: x²+x-2 1. lim X-o 4x-1

A:

Q: 5x' +8x² lim x→0 3x* – 16 r? 3

A: Cancel out the common factor from numerator and denominator than put the x and calculate limit.

Q: V9x2 + 4 96, lim x-0 6x +1 X00

A: Solve the limit

Q: 2x2-3x Find lim х-4 4x3-8х+13-

A:

Q: 3x - 7x x-0 2x - 15x d. lim

A: The aim of the problem is to evaluate: Concept used:Indeterminate forms often appear when dealing…

Q: Find lim 2-0 -x-1 x²

A:

Q: Find Vx² + 8 – 3 lim x--1 x +1

A:

Q: -1 Evaluate lim 3x А. 2/3 C. 1/3 В.-2 D. -3

A:

Q: Evaluate lim h→0 1 2 5 (x+h) ² 2h 1 5x²

A:

Q: Vx-3-V9-x 3. lim X-6

A: Solving the problem by finding the limit of th3 function.

Q: Calculate lim X→-2 x³ + 2x² - 1 5 - 3x

A:

Q: If 2x - 2s f(x) S x² - 2x + 2 for x 2 0, find lim f(x) x-2

A: see below the answer

Q: If 3x – 2 s f(x) sx² - 3x + 7 for x2 0, find lim f(x). x-3

A:

Q: 2x a. lim x-+3" X - 3

A: limit

Q: x8 – 1 lim x-1x5 – 1

A:

Q: Find lim h-0 f(5+h)-f(5) h if f(x) = -2x-1.

A:

Q: lim x>-3- x² +2xr-3 a. X- 7X b. lim x>-3+ x2 +2x-3 lim x>-3 x² +2x-3 C. X- ,X

A:

Q: Зх + 5 3 lim 6х — 8

A: Given limx→∞(3x+56x-8)13

Q: r2 + 8r + 15 if r<2 if z 2. if a <2 Let = f(x) 4x +7 lim f(x). I-2+ Find

A: