x+xcosx A: lim x-0 sinx cosx tan2(3x) B: lim x-0 x² 1-tan?x C: lim zcosx-1)

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A: Solution

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A: ' According to the guidelines issued by the company we are supposed to answer only first three…

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A: We know limx→0tan xx = 1 limx→af(x)·g(x) = limx→af(x) · limx→ag(x)

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A: We will find the limit directly using the limit theorems.

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Q: evaluate the limit.

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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.