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Is it 0 times infinity?

Calculus Level 4

$A = \displaystyle \lim_{n \to 0} \int_{-\infty}^{+\infty} \dfrac{\sin(nx)}{x} \, dx$

Calculate the limit of the Riemann integral, $A$ .

\pi

0

- \pi

A

does not exist

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by Hobart Pao

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