isi-entrance 2016 Q68

isi-entrance · India · UGA 4 marks Sequences and Series Limit Evaluation Involving Sequences

The value of $\lim_{n \rightarrow \infty} \frac{1^3 + 2^3 + \ldots + n^3}{n^4}$ is:
(A) $\frac{3}{4}$
(B) $\frac{1}{4}$
(C) 1
(D) 4

The value of $\lim_{n \rightarrow \infty} \frac{1^3 + 2^3 + \ldots + n^3}{n^4}$ is:\\
(A) $\frac{3}{4}$\\
(B) $\frac{1}{4}$\\
(C) 1\\
(D) 4