In Exercises 1–4, find the given limits. i + 5 cos t )j + ( tan t )k sin cos 2. lim Pi + ( sin t )j + (In (t + 2))k 1--1 Vi - )j + (tan¬1 t)k 3. lim In t →1 tan i + sin 21 sin t ? t 8. k t + 2 4. lim

Q: 4 1) Given the function f (x) = 5 – 2 cos f(-) 3T a) Find the exact values of f () and f(-4) b)…

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Q: 9- Solve the question. Lim cos(2x)/x X->T

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Q: 2) Evaluate Væ2 + 9 – 5 a) lim x -4 x+ 4 In(x +1) b) lim x 0 COS x – 1

A: Explanation of the answer is as follows

Q: 12 1 dx 1+ x2 5e* 2.) / sec(a) tan(a) e* sec r dx 3.) /; 15x4 d.x 3

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Q: 5. Evaluate: lim, 0 2x- x2 sin a 1 Does not exist 2.

A: lim (2x-x2)/sinxx→0

Q: EVALUATE THE FF. 2X-X3 1.) S 2xxx³ dx X 2.) S(1+3x) (2-x) dx 3.) SCx2+2)5 xdx

A: The Sum Rule:The Power Rule:The Constant Multiple Rule:Note:As per Bartleby guidlines we are…