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lim(x->oo) [cos{2pi(x/(1+x))^a}]^(x^2)...

`lim_(x->oo) [cos{2pi(x/(1+x))^a}]^(x^2)`

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Statement-1: lim_(xrarr oo) (cos (pi)/(x))^x=1 Statement-2: lim_(xrarr oo) -pi tan. (pi)/(x)=0