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OpenStudy (anonymous):

how to know wether the integral converges or diverges?

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OpenStudy (anonymous):

(1) integrate the function. (2) evaluate from a to b. Take a limit if a or b is a horizontal/vertical asymptote. if answer is finite then it converges, otherwise it's unbounded (infinity) and it diverges. Here's one that diverges: \[\int\limits_{0}^{\infty} e^{x} = \lim_{t \rightarrow \infty} e^{t} - e^{0} = \infty \]

OpenStudy (anonymous):

oh. i get it.thank you so much.

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