Find `lim_(n->oo) (1+1/n)^2`

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

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

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

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

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

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|

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

Evaluate the following limit: (lim)_(n->oo)(1/(n^2)+2/(n^2)+3/(n^2)++(n-1)/(n^2\ ))

Find Lim {x->oo}{ (1+1/(n^2))^(2/n^2)(1+4/(n^2))^(4/n^2).....(1+(n^2)/(n^2))^(2n/n^2)}

lim_(n->oo)[(1+1/n^2)(1+2^2 /n^2)(1+3^2 /n^2)......(1+n^2 / n^2)]^(1/n)