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

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

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

lim_(n->oo)2^(n-1)sin(a/2^n)

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

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|

lim_(n->oo)sin(x/2^n)/(x/2^n)

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

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

Evaluate the following limit: (lim)_(n->oo)2^(n-1)sin(a/(2^n))

Evaluate lim_(n->oo)n[1/((n+1)(n+2))+1/((n+2)(n+4))+....+1/(6n^2)]