"Determine whether the series is convergent or divergent."

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April 14th 2010, 04:37 PM
s3a

"Determine whether the series is convergent or divergent."

Question:

Determine whether the series is convergent or divergent.

http://gauss.vaniercollege.qc.ca/web...d5d03cc4f1.png

Answer:
The answer is Divergent.

I'd appreciate it if someone could explain to me why this is divergent. Does it have anything do with the same summation of 1/n ?

Thanks in advance!
April 14th 2010, 04:54 PM
skeeter

Quote:

Originally Posted by s3a

Question:

Determine whether the series is convergent or divergent.

http://gauss.vaniercollege.qc.ca/web...d5d03cc4f1.png

Answer:
The answer is Divergent.

I'd appreciate it if someone could explain to me why this is divergent. Does it have anything do with the same summation of 1/n ?

Thanks in advance!

what can you say about the series ...

$-10 \sum{\frac{1}{n^{\frac{3}{5}}}}$ ?
April 14th 2010, 05:16 PM
s3a

Does it diverge BECAUSE OF the comparison test with 1/n and since 1/n diverges and is smaller that's what makes what you said divergent and therefore the whole thing divergent?
April 14th 2010, 05:21 PM
skeeter

Quote:

Originally Posted by s3a

Does it diverge BECAUSE OF the comparison test with 1/n and since 1/n diverges and is smaller that's what makes what you said divergent and therefore the whole thing divergent?

close enough.

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