if x <0 4x + 3 if 0 < x< 3, find lim f(x). x³ – 12 if x > 3 If f (x)

Q: Vx² + 8 – lim x-1 =? x+1

A: We have to find limit

Q: Show that lim(5x+2)=-18 x-> -4

A:

Q: lim2

A: Explained below

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: b. Find lim (xv (xVx²+1-x²)

A:

Q: If 3x < f(x) < x³ + 2 for 0 < x < 2, find lim f(x). x-1

A:

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

A:

Q: If 2x – 1 < (x) <x² for 0 < x < 3, find lim f(x)

A: The solution of above question is written below.

Q: If lim fx) -6 х+1 х— 1 – 6 10 , evaluate lim f(x).

A:

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

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: If 2x – 2 < f(x) < x² – 2x + 2 for x 2 0, find lim f(x). X-2

A: The objective is to find the limit.

Q: Find lim 2-0 -x-1 x²

A:

Q: Find Vx² + 8 – 3 lim x--1 x +1

A:

Q: If 3x – 2 s f(x) < x² - 3x + 7 for x 2 0, find lim f(x). X3

A: 3x-2≤f(x)≤x2-3x+7

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

A:

Q: b. Find lim (xvx²+1-x²)

A: Here, we take common x.then multiply denominator and numerator by √(x^2+1)+x

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: Find lim (V + 1 - Vĩ).

A: To find the limit

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: Use the ? − ? definition to prove that the uniformly continuity of ?(?) on

A:

Q: If 3x-35f(x) < x²-3X+6 for X z0, find. lim f(x)

A: