Does the sequence converge or diverge? #lim sin(4n)/(7+sqrtn)#?
What is #lim_(n->oo) sin(4n)/(7+sqrtn)# ?
I got all the way up to the limit of #sin(4n)/sqrtn = oo/oo# , but I saw the answer and it says its 0. I don't understand how it could be 0.
What is
I got all the way up to the limit of
2 Answers
Explanation:
We will use what we know about
And because
So
As:
we have that for
Clearly:
and also:
By the squeeze theorem we can conclude that:
but then: