1. `lim_(n->oo) (1+1/n)^(n+5)`

lim_(n->oo) nsin(1/n)

If A=[{:(,1,a),(,0,1):}] then find lim_(n-oo) (1)/(n)A^(n)

Prove that lim_(n->oo)(1+1/n)^n=e

f'(0) = lim_(n->oo) nf(1/n) and f(0)=0 Using this, find lim_(n->oo)((n+1)(2/pi)cos^(- 1)(1/n)-n)),|cos^(-1)1/n|

The value of lim_(n->oo) n^(1/n)

lim_(x->oo)(1-x+x.e^(1/n))^n

7. lim_(n->oo) (2^(1/n)-1)/(2^(1/n)+1)

Evaluate the following limits : Lim_( n to oo) (1+2/n)^(2n)

lim_(n rarr oo)2^(1/n)

evaluate lim_(n->oo)((e^n)/pi)^(1/ n)