Solve the limit problem, Mathematics

Solve the Limit problem as stated Limit x tends to 0 [tanx/x]^1/x^2 is ? lim m tends to infinity [cos (x/m)] ^m is? I need the procedure of solving these sums..

Posted Date: 4/5/2013 2:39:45 AM | Location : United States





The question is not in INDETERMINATE FORM.
you need to convert it in that form by using a simple formula...

:-  lim x->a   [ 1 + f(x)]^g(x)  =   e^lim x->a  f(x).g(x)

apply this formula and you get the ans as e^1/2 in the first one.

for the second put m=1/n 
hence when m->infinity.... n->0
and then apply the same formula
you get the ans as 1. 

Posted by Frankline | Posted Date: 4/5/2013 2:40:14 AM


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