sin Consider the following function g(x) = x e Suppose that we have previously seen analytically that s g(x)s 4x? for all x+0. sin- a.) Use the Squeeze Theorem to find lim xe Explain (in complete sentences) how you know what the limit is. x-0 b.) Why does the inequality s g(x) s 4x? not work for x=0 ? Explain why we do not need the inequality to hold when x=0 for the Squeeze Theorem.

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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.