/sci/ - Science & Math

>>11614115
[math]\displaystyle \lim _{n \rightarrow \infty} (a_n + b_n) = \lim _{n \rightarrow \infty} (a_n) + \lim _{n \rightarrow \infty} (b_n)[/math]
Since [math]\displaystyle \lim _{n \rightarrow \infty} \frac{2}{(2n+2)(2n+1)(3^n+1)} = 0 [/math], you can add it in and it doesn't affect the limit.
Simple as.