1) Evaluate the following limits. cos r - x4 - 1 sin? 2x 3* + cos r a) lim b) lim -00 3+2 – 2* c) lim In (t1) cos (x2 + VT) d) lim (cot r) m In a 2-0+

Q: 1 lim (x² –1)sin x+1

A: To find out the limit.

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A:

Q: Evaluate:* x + 4x lim x4x2 + 2x - 8 4/5 1/2 2/3 3/4 Differentiate with respect to x: * y = sec(x² +…

A:

Q: b): Evaluate each of the following limits: 1- cos* 3x 1)lim 9x2 x sin 5 12)lim r+00 xt + 1

A:

Q: Evaluate:- x+2 sin x 1: lim Vx +2 sin x +1-Vsin? 40 einf

A: Since you have asked multiple questions in single request.so we will answering only first question.

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.