A. Evaluate the 1. lim 3* 2. lim 3* 4. lim 5* メー+ 3. lim 4* 5. lim (0.2)* 6. lim (0.2)* 7. lim 42* 8. lim e2* 9. lim e* メー+ 10. lim e* sin 6x 11. lim 5*+6 12. lim ズ→+ x-0 1 COS X 13. lim- 14. lim e3*+4 X-0 xー+0 15. lim e*+7 Morngitõiüpie B. In exercises 16 to 20, a. construct a table of values; b. grap and c. find the indicated limits. 16. f(x)=3* 17. f(x)= 4* a. lim 3* a. lim 4* ー+00

Q: 3. By hand, showing all steps, determine 3x-7x+9 lim 7x-4

A: Given limit, limx→∞3x7-7x+97x3-4   is in ∞∞form

Q: > Cakubte this omit algebraicelly using Known melhods/limits. show your work step by step for * lim…

A:

Q: 2 cos(8x) – 8 x² – 2 lim - sin(3x) — 2? — За

A: Here we apply l Hopital's rule.

Q: 111. lim cos x -2

A: To find,

Q: 3e2* -1 d) lim 2x 4e* +cos x

A:

Q: cos x . lim. 20 2 sin²x

A: To find:-

Q: x²-7x+10 1. limx-2 x-2

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

Q: Зх + 1 1 lim x→0 sin x 5 2 3 1 2

A:

Q: What is the value of x2 -9 lim a-0 x2 x - 6 -3/2 O 2/3 3/2 O DNE

A: limx→0x2-9x2-x-6

Q: lim,-0 e" = ?

A: Consider the given limit limx→-∞ex.

Q: 9. Simplify 2 + tan² sec² x - 1.

A: Simplify

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: lim (1+ tan 3x)*

A:

Q: sin 5x f. lim

A:

Q: 4.lim 1252x-7+2 Sーズ 5. lim e*+1 X-4

A: Let's find.

Q: Evaluate: e* cos (7e*)cos (4e*) dx (A sin (3e*) +sin (11e") +c - sin (11e*)+C - sin 6. 22 ® -cos…

A:

Q: 2х-п lim =? COSX 2

A: We can use differential calculus to find the solution. When we directly apply the limit we get an…

Q: - 5. Evalaute lim VI - 3

A: Given,

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: fnd 4. lim cosx)

A:

Q: 1. lim )Gt h->0 2. lim xZ X-1 X>( X-I

A: here is the solution

Q: 2 lem -9 ズ→ス x-4

A:

Q: 2.r + x sin 3.x 1. lim * 5x - 2x +1

A: Here we find limit

Q: 14. Find limx-o(1+ 2x)5/x. a. -10 b. 10 с. е-10 d. e10 e. None of the above

A:

Q: X+ 0.4Inx 04. lim, X+3lnx

A:

Q: х2-2х-3 Evaluate: lim х--о (х+1)(1-х) А. —3 В. О С. —1 D. DNE Е. 1

A:

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.