is the above sequence convergent? if so, what is the limit?

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- Mar 14th 2009, 09:59 PMtwilightstr

is the above sequence convergent? if so, what is the limit? - Mar 14th 2009, 10:41 PMJhevon
- Mar 14th 2009, 11:10 PMtwilightstr
is it infinity

- Mar 14th 2009, 11:12 PMJhevon
- Mar 14th 2009, 11:18 PMo_O
Just as an alternative..

If you can use the fact that for , then notice that:

And use squeeze theorem .. - Mar 14th 2009, 11:23 PMtwilightstr
jhevon, how would u take the limit

- Mar 14th 2009, 11:34 PMJhevon
- Mar 14th 2009, 11:36 PMtwilightstr
yes. thats what i tried doing in the first place, but i think i did it incorrectly.

- Mar 15th 2009, 12:23 AMJhevon
- Mar 15th 2009, 10:19 AMstapel
- Mar 15th 2009, 12:50 PMtwilightstr
= [(ln3)3^x + (ln5)5^x]/(3^x + 5^x) as the limit goes to infinity. I really dont know what to do from there

- Mar 15th 2009, 12:53 PMJhevon
- Mar 15th 2009, 01:05 PMKrizalid
since and as