Functions Question 121

Question: $ \underset{x\to \infty }{\mathop{\lim }},\frac{{{(2x+1)}^{40}}{{(4x-1)}^{5}}}{{{(2x+3)}^{45}}}= $

[IIT 1990]

Options:

A) 16

B) 24

C) 32

D) 8

Show Answer

Answer:

Correct Answer: C

Solution:

$ \underset{n\to \infty }{\mathop{\lim }}[ \frac{1}{1-n^{2}}+\frac{2}{1-n^{2}}+…..+\frac{n}{1-n^{2}} ] $