Question

(Picture) INFINITE SEQUENCES AND SERIES PLEASE HELP!!

Answer 1

Option B is correct, i.e. limit L = 9/13

Explanation:

Given the expression is (2n + 7n)/13n

Applying limits on it:-

`\lim_(n \to \infty) (2n+7n)/(13n)\\=\lim_(n \to \infty) (9n)/(13n)\\=\lim_(n \to \infty) (9)/(13)\\=(9)/(13)`

So, the limit of the given expression is 9/13.

Hence, option B is correct, i.e. limit L = 9/13.

Answer 2

option B 9/13

Explanation:

`(2x+7x)/(13x)`

First we simplify the given expression

LEts combine like terms

2x+7x becomes 9x

So the expression becomes

`(9x)/(13x)`

Now we have x at the top and bottom of the fraction

so we cancel it out

`(9)/(13)`