Hi,

How can i solve this next limit?

lim (cos(x/√n))^n as n->infinity

Thanks for any help...

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- Jun 24th 2010, 09:57 AMrebeccaLimit computation
Hi,

How can i solve this next limit?

lim (cos(x/√n))^n as n->infinity

Thanks for any help... - Jun 24th 2010, 10:00 AMChris L T521
- Jun 24th 2010, 12:22 PMAlso sprach Zarathustra
I will continue from the point where mr. chris stopped...

(the last pass is from continuous of function e)

Now, lets concentrate only in power of e.

And now we do a substitution: .

So we got a form.

Hence we can use l'Hôpital's rule.

So we got again a form.

Hence we can use again l'Hôpital's rule.

So: