_ x [ 1^3 + 2^3 + 3^3 + ....... + n^3 n^4 ] = - Vidyadip

MCQ

$\mathop {\lim }\limits_{x \to \infty } \left[ {\frac{{{1^3} + {2^3} + {3^3} + ....... + {n^3}}}{{{n^4}}}} \right] = $

A
$\frac{1}{2}$
B
$\frac{1}{3}$
✓
$\frac{1}{4}$
D
None of these

✓

Answer

Correct option: C.

$\frac{1}{4}$

c
(c) $\mathop {\lim }\limits_{n \to \infty } \frac{{{{\left( {1 + \frac{1}{n}} \right)}^2}}}{4} = \frac{1}{4}.$

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