(adsbygoogle = window.adsbygoogle || []).push({}); L.C.T. Misgraded Cal. Problem!???

HEy!

I just took a Cal. II test and used the Limit comparison test on one of my series. Here it is:

infinity

_

\

/ n^2/(n^3 +sqrt(n^(9)+1))

_

n=1

sorry if it looks hard to read. I compared it to 1/n. And it diverged. The teachers said I must compare it to n^2/n^(9/2). NOw doing it this way makes the series in question converge!

THE QUESTION IS WHY CAN'T I USE 1/N TO CHECK FOR CONVERGENCE USING THE LCT? Thanx, Karen

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# L.C.T. Misgraded Cal. Problem?

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