4-V16+h 9. lim x+sin x 12. lim

Q: x²-2x-3 lim a. (x-3)3 2-2r-3 x-3 (x-3)' x² - 2x-3 b. lim x² - 2x-3 lim 33 (x-3)3 c.

A: x→3+ limx2-2x-3(x-3)3=x→3+lim(x-3)(x+1)(x-3)3=x→3+limx+1(x-3)2=∞

Q: 16. lim x+3-3

A:

Q: tan 2x 9. lim 2x

A: Explanation of the answer is as follows

Q: 4x2 +7 lim x-2- x3 +8 4x2 +7 = -00, lim x-2+ x3 + 8 51. 00

A:

Q: x-1-2 2) lim 1 1 Xー 2 2,

A:

Q: Lim X+2 2.

A: Limit

Q: Зх — 4 1. lim 2х+1

A:

Q: 10 Find lim x12s 3. X->- X -25 2 lim Jx +3 - 2 メ→」 O lim Sitx - -x 3. 1-X 2 X

A:

Q: lim cot(z) %3D - 10 -1 0 3 0

A:

Q: 1 2. Lim x0x 1 sin x

A: Given:      limx→0+1x-1sinx simplifying we get     =limx→0+sinx-xxsinx Apply L'Hospital's Rule:…

Q: L’Hôpital’s Rule is used incorrectly. Describe the error.

A: By applying the limit, we get

Q: 19) lim (x2 4x - x) +

A:

Q: e2x - e 2x 3. lim, 0 sinx

A: To evaluate the given limit.limx→0 e2x-e-2xsin x

Q: x + sin x 5. lim x 2x + 5

A: We have to solve:      limx→∞x+sin x2x+5

Q: x+2 lim sin - x+6x+8 3 2.

A:

Q: X 19. lim x→1x² + 4

A: To evaluate the following limit.

Q: 2x 6. Evaluate lim X 00 3x2 +1 You may not use L'Hospital's rule to solve this problem.

A: Solve the limit

Q: 10. lim Ve+ 2-2

A:

Q: X lim x→1x² + 4

A:

Q: 1 I 4 x 4 x 4 49. lim-

A:

Q: lim エ→4 - V8 -x

A:

Q: tan3x 6. lim X-0 tan4x

A: "Since you have asked multiple question, we will solve the first question for you. If you want any…

Q: .3 2x -3x lim Зx3 +4 Typ (Туp

A:

Q: Evaluate: lim x→-1 x² + 2x + 1

A: Limit: Limit is a mathematical concept based on the concept of proximity that is used to give values…

Q: Find lim tanx-x x2 sinx X

A:

Q: 1-x 6. lim X-3 X+3

A:

Q: (sinx -) (3sin²x -sinx +1) lim TE +X, 2

A:

Q: lim.                          x^5 x --> - infinity

A:

Q: 4. lim 1000 x-1000 5. lim X--2 x

A:

Q: lim esec x(7/2)+ sec x

A: We will substitute x= h + pi/2

Q: Limit= Evaluate lim 00 sin² 30 30

A:

Q: 7) lim (-2x3 + 3x-1) X=00

A: We have to find limx→−∞​(−2x3+3x−1).By applying Infinity Property that…

Limits

When it comes to calculus, limits are considered to be a very important topic of discussion. The main importance of limit lies in expressing the value of a function as it gets closer to a certain value. Also, limits can help you to understand other topics, such as continuity and differentiability better. In a broader sense, every calculus notion is a limit. Other branches of calculus have also been derived from limits.