Question

Evaluate:
\[\lim_{x \rightarrow -\infty} Sin(x) dx\]

just to be clear it Does Not Exist right?

Answer 1

right

Answer 2

I'd like to introduce you to WolframAlpha for all your computational needs!

Answer 3

of course, just thinking about the graph of sinx you don't need wolf to solve it

Answer 4

This is true, just pointing out that straight-forward answer checking can be done via Mr. Alpha.

Answer 5

sine is periodic, so it takes on every value between -1 and 1 infinitely often, hence no limit

Answer 6

follow up question:

\[\lim_{t \rightarrow -\infty} \int\limits_{t}^{-\pi/2} \cos \theta d \theta\]

is divergent corret?

Answer 7

yep

Answer 8

mucho gracias

Answer 9

de nada