Need Calculus Help--Infinite Series

Pre-College Topics High School Life
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<p>I just finished writing my Cal II exam today, and there's one problem that has been bothering me...</p>

<p>Determine if the improper integral from a=4 to b=inf of (1/(x-3)^2) converges, and if it does, where does it converge?</p>

<p>I know that it converges and I showed that (since the limit exists), but I cannot figure out WHERE it converges. Since a=4, I was able to deduce that this is basically an infinite series, where n=1 of (1/n^2). From there, I got lost.</p>

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<p><em>whisper</em><em>is it bad if i'm in AP Calc [writing the BC exam] and my class isn't going to be starting integrals till the new year?? :S :S</em></p>

<p>:eek: lol
well i guess i didn't really answer your question sorry i have no idea how to do it...anyone else have an answer?</p>