What will be the limit of the following sequence as n tends to infinity? Will the sequence converge or diverge?

lim_(n rarr oo)a_n where a_n= (1+sinn)^(1/n)

1 Answer
Feb 24, 2018

1

Explanation:

lim_(n→∞)a_n=lim_(n→∞)(1+sinn)^(1/n)
=(1+sin∞)^(1/∞)
=(1+(any number between -1 and 1))^0
=1
this implies that given sequence convergent and it converges to 1