Evaluate the following. 1. lim (2x – 11) x-4 x+4 2. lim x-2 l(x-1)(x+2),

Q: Vx² + 8 – lim x-1 =? x+1

A: We have to find limit

Q: lin

A:

Q: (x³ - 2x2 - 6+3x) 6. Evaluate lim- X-2 x- 2

A: To evaluate:                      limx→2 x3-2x2+3x-6x-2

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

A:

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: x-7 Evaluate lim- +1 Jx-3 - 2 Vx- 3 –

A: Consider the given fraction: limx→7x−7x−3−2Rationalize the…

Q: x²-4x+4 1. Find lim- 2 x+x-6

A: Part 1,

Q: 2. Find lim 7x+5

A: limx→∞7x+5x2-4x=limx→∞x(7+5x)x2(1-4x)=limx→∞(7+5x)x(1-4x)

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: Ex: Find lim, 3f(x) if f(x)%3D x-1 13x-7 x > 3

A:

Q: x→0 cot3

A: we are given  limx->06x cot3x which is = limx→06x( cos3xsin3x) if we apply limit we will get…

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: Vx-15-1 3. Evaluate lim X-4 x-4

A:

Q: Find the following: x+/3 + 9x+/5 i. Lim- x-0 6x1/2 – 4x1/4

A: Hey, since there are multiple questions posted, we will answer first question. If you want any…

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: x-2 22. Evaluate lim x+2 Vx2-4

A:

Q: Find Vx² + 8 – 3 lim x--1 x +1

A:

Q: Evaluate lim(2x3 – 3x + 1) x-3

A: Topic - limits

Q: 10 a. lim 3-2 2x+1 b. lim Z x-3

A: Given 1.      lim x→3 10x-22.       lim x→2 2x-1x-3 To find - the value of the given limits

Q: b. Find lim (xvx²+1-x²)

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

Q: x8 – 1 lim x-1x5 – 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