Question

I need help solving this.*please note that this problem is related to calculus*

Answer 1

To evaluate the limit of the series, we evaluate the limit to infinity of the expression inside the sum, as following:

$\lim _{n\to\infty}\frac{3n^3}{15n^4+5}$

Since the denominator is one degree higher than the numerator, we can conclude that:

$\lim _{n\to\infty}\frac{3n^3}{15n^4+5}=0$

Answer: Option 1