# Thread: Find the limit of the sequence

1. ## Find the limit of the sequence

Use the squeezing theorem to find the limit of the sequence

2. Hello,

First of all, you can divide the numerator & the denominator by n

--> $a_n=\frac{\sin(n)+3\cos(n)}{n+1}$

Now, the squeeze theorem.

(these are all $\leq$)

-1<sin(n)<1
-1<cos(n)<1 --> -3<3cos(n)<3

---> -1-3<sin(n)+3cos(n)<1+3

Hence, $\frac{-4}{n+1}

3. Moo, u r alwasy so helpful and...so fast!
Can't thank u enough