The improper integral f(x)dx can be written as lim f(x)dx + lim_ f" f(x)dx . w--00 w+00 If f(x) = 4e-3* , which of the following conditions is correct that makes the improper integral diverges ?

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A: Reference : Series expansion, Taylor expansion, Maclaurin series, Error bound

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A: given                  f(x)=4x+7

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A: Use the given formula to find f'(x).

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A: See the attachment

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A: Function f differentiable at x=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.