Determine limx→−2 6/x-2, if it exists

Q: 6х2+1 2. Find lim X→0 V4x4+3x+1

A:

Q: limx→0 (1−cos(5x))/(1−cos(9x))

A: Used L'Hospital rule

Q: x* +x² – 1 limx→c x²+5

A:

Q: 1. Find the value of the expression lim x²+x+21 X-3 x-1

A:

Q: (3x2 3x2 4. lim x00 x--1 x+1 А. 1 B. Undefined. С. 1/2 D. -00

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: B/ Find the value of lim,-.. 1. ²/2 O 1 O 2 7x²+x-100 2x²-5x N NIN

A: To evaluate: limx→∞7x2+x-1002x2-5x

Q: Find 2-Vx2-5 lim X-1 x+3

A:

Q: limx→1 10x−9x−10(x2−1)

A: Given,             limx→110x-9x-10x2-1

Q: lim エ→4 - V8 -x

A:

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

A:

Q: (1 + +)" =- 65. lim

A: To show: limn→∞1+1nn=e

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

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: 2 lem -9 ズ→ス x-4

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: Calculate limx→∞x3+3x+52x3−6x+1.

A: We have to calculatelimx→∞x3+3x+52x3-6x+1

Q: lim (1 – 3x² )= x-2 а. -13 b. 11 С. 13 d. -11

A: By the linearity of limit of a function we can solve the given problem

Q: Зх + 5 3 lim 6х — 8

A: Given limx→∞(3x+56x-8)13

Q: 13x3sin(는)= 13 2.플) .3, lim %3D (x.y) → (1,-

A:

Q: 4- determine (32x' lim X→00 7x3

A:

Q: Find Lim 5e*-2x x-0 A. 5e C. 5 D. 0 B.

A: Solution