Determine whether the sequence converges or diverges. If it converges, find the limit. (If the sequence diverges, enter DIVERGES.) (a) lim cos (n) (b) b, 4" lim b Justify your answer. O Use the Squeeze Theorem by considering the range of cosine. O Use the Quotient Rule to find the limit of each of the numerator and the denominator. Use L'Hopital's Rule to find a limit that does not have an indeterminate form. O Use the Povwer Rule on the numerator cosine.

Q: Evaluate the limit.

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Q: Evaluate the limit.

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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.