Evaluate the following limits. lim (x – 1)(x² +1) 2 i. x→ 2 6+4x ii. lim x→-3 x2+1 iii. lim 3x3 + 27x2 - ух iv. lim X→-00 X

Q: 5x - 10x2-7x lim 5- 8x-5x3 5x – 10x? - 7x 1. %3D 2. lim 5 - 8x 5x3 II

A: I will solve this by taking the common factor out of denominator and numerator and cancelling it.

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

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

Q: Evaluate limr→∞ -8x³+10x 7x-x2 2 8.

A:

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

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

Q: 6х2+1 2. Find lim X→0 V4x4+3x+1

A:

Q: find lim ( Sx²+ax-Jxb% 2. Xつや

A: Solution  limx→∞Axn=0 , where A is constant and n>0

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

A: Solve the limit

Q: Find the limits x* + x lim Xo 12x + 128

A: The limit gives the value towards which an expression converges as its variable approach to certain…

Q: Evaluate lim,→- V4x2–3x+2 х—2

A: To evaluate limit.

Q: V5x+4-3 3) lim X-1 x-1

A:

Q: Find the limits 3x lim x→-5 2x + 10

A: Our Aim is to find the limit of the expression given below:-limx→-5- 3x2x+10-(i)

Q: Evaluate limits x - 3x +2 lim X-1 2x +x-3 lim x9x +1 i, XV

A: Here we have to elevate the limit for the given questions

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

A:

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

A:

Q: x*+x3 2. Calculate lim x→0 12x3+128

A: limx→∞x4+x312x3+128

Q: Evaluate the limit 10x2 7x +7 lim 2x +7 08.

A: Given query is to find the limit of the expression.

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: Q5:-Evaluate the following limits 3x-3x2+5x-9 1. lim, Tx 43x3

A: