(Picture) INFINITE SEQUENCES AND SERIES PLEASE HELP!!

Answer:
option B 9/13
Step-by-step explanation:
[tex]\frac{2x+7x}{13x}[/tex]
First we simplify the given expression
LEts combine like terms
2x+7x becomes 9x
So the expression becomes
[tex]\frac{9x}{13x}[/tex]
Now we have x at the top and bottom of the fraction
so we cancel it out
[tex]\frac{9}{13}[/tex]
Answer:
Option B is correct, i.e. limit L = 9/13
Step-by-step explanation:
Given the expression is (2n + 7n)/13n
Applying limits on it:-
[tex]\lim_{n \to \infty} \frac{2n+7n}{13n}\\=\lim_{n \to \infty} \frac{9n}{13n}\\=\lim_{n \to \infty} \frac{9}{13}\\=\frac{9}{13}[/tex]
So, the limit of the given expression is 9/13.
Hence, option B is correct, i.e. limit L = 9/13.