Mathematics Asked by abuka123 on November 26, 2021
I’m trying to prove that the following integral diverges:
$$
int_0^1frac{sin(frac{1}{x})}{x^2}dx
$$
I tried to use Dirichlet theorm but without any success. How can I show it without using taylor?
HINT
Substitute $frac1xrightarrow t$ to get $int_1^{infty}sin(t)dt$
Answered by Sameer Baheti on November 26, 2021
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