I can't seem to deal with $$\lim_ {a\to 0^+} \int_a^\infty \frac {\sin. The vat entry already exists. Evaluating the improper integral $$\int_0^ {\infty} \frac {\sin x} {x+x^2} \ dx$$ i'm trying to determine if the integral exists.
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I am a 12th grade student, and i am afraid that in realistic terms this question might not even make sense because of the infinities that have to be dealt with.
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Because the limit is 0/0 i've tried using l'hopital's rule, but every time i differentiate it i
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