Functions Question 81

Question: $ \underset{x\to \infty }{\mathop{\lim }},[ \frac{1^{3}+2^{3}+3^{3}+…….+n^{3}}{n^{4}} ]= $

Options:

A) $ \frac{1}{2} $

B) $ \frac{1}{3} $

C) $ \frac{1}{4} $

D) None of these

Show Answer

Answer:

Correct Answer: C

Solution:

$ \underset{n\to \infty }{\mathop{\lim }},\frac{{{( 1+\frac{1}{n} )}^{2}}}{4}=\frac{1}{4}. $