Evaluate the following limit. 5( cos x-1) lm 2 sin x Change the glven Indeterminate form Into a deteminate form. Choose the correct answer below. 5( cotx-1) O A. sin x O B. -5(1+ cos x) 5. c. - (1+ cos x) sin x OD. 5( cotx-1) Evaluate the limit. Select the correct cholce below and, if necessary, fill in the answer box to complete your cholce. 5( cos x- 1) O A. lim because each function Is continuous for all x. (Simplify your answer.) sinx OB. The limit does not exist and is neither co nor - co.

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Q: 16. Evaluate ft tan5 x sec¹ xdx.

A: We know that Sec²x = 1+ tan²x ∫ xn dx=( xn+1)/(n+1)

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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.