- Mon Feb 04, 2013 1:44 pm
- Forum: Calculus
- Topic: improper integrals, convergent or divergent? follow-up
- Replies:
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**2063**

In this thread , a poster said: To be convergent, an integral must have a finite value. If the value is not finite, then the integral, by definition, does not converge. What about cases like \lim_{a \rightarrow \infty} \int_0^a \sin x dx ? This doesn't go to infinity but still it doesn't converge.