k1 (k+ 1)².4k ak+1 lim ||

Q: 1. Lim 2 x+3x+1 7x²-2x+4

A:

Q: lim, 1 2²-7x+6 z-1

A:

Q: 42t lim t+0 4 - 1 - 1

A:

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

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

Q: E valuate Dle followneg: lim メーフ+ 7x" – 4x? + 7x - 2 J +- 3 メ 3x° -8x"+ フメー458 -x一5 x3

A:

Q: Vx+8-3 Evaluate ' lim-1 x+1

A:

Q: lim

A: We have to evaluate the following limit: Limit as x tends to -infinity (2x + 1)/[sqrt {7x^2 - x +…

Q: 2. Find lim (√x + 2 = √2).

A:

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

A:

Q: 2r – 5x²/x Find lim x5/2 – 3x +1 — Зх + 1 X- 00

A:

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: 3 Find x=x-12 lim. x-7-3 x2+ 8x+15)

A:

Q: (b) lim In(5x2 +3) – In(2r² + 1). -

A: Given :

Q: – 5x I lim 2x(1–5x) 7x² +3

A:

Q: x6 – 3,000x5 lim x→-0 4x° + 10,000 9

A:

Q: (5x+1)(3—10х) x(10х+ 2020) Find lim X00

A: limx→∞5x+13-10xx10x+2020

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: -10 10 +1 lim z6 +1 10 4 5 3.

A:

Q: 5x2 + 3 lim x → 1 x² + 6x – 4

A: Concept- limit x tend to 1 ,that means substitute the value of x=1 .

Q: 4х-8 lim Jx² +16

A: Try to put 'x' in denominator , so that when x tends to infinity then that term will become zero.