Find `lim_(n->oo) (3^(n+1) +4^(n+1)) / (3^n+4^n)`

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

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

lim_(nrarroo) (3.2^(n+1)-4.5^(n+1))/(5.2^(n)+7.5^(n))=

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

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

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

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

lim_(n->oo) (1.2+2.3+3.4+....+n(n+1))/n^3

Evaluate the following limit: (lim)_(n->oo)(1^3+2^3+ n^3)/((n-1)^4)