hey, i have a question that i cannot figure out.

Given that lim(n->infinity)=an exists when a1=1 and an+1=sqrt[1+(6/an)] for n>1, find the limit.

how do i go about solving this?

cheers!

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- Mar 16th 2009, 05:12 PMjackm7finding the limit
hey, i have a question that i cannot figure out.

Given that lim(n->infinity)=an exists when a1=1 and an+1=sqrt[1+(6/an)] for n>1, find the limit.

how do i go about solving this?

cheers! - Mar 16th 2009, 05:24 PMpankaj

,then we also have

Therefore,

- Mar 16th 2009, 05:34 PMjackm7
thank you, i was getting different answers every time i did that question.

i have also stumbled across another ones i am having problems with.

lim(n->infinity) (1+1/2n)^n-1

lim(n->infinity) ln(n+cos(n))/ln(n^2)

any help would be appreciated - Mar 16th 2009, 05:45 PMpankaj

=

=

Apply L'Hospital for the second limit