If lim_n→∞ (1²-1)(n-1)+(2²-2)(n-2)+…+((n-1)²-(n-1))/(1³+2³+…+n³)-… | JEE Main 2024 Mathematics PYQ | Jeeify

Log in Start free trial

MCQMediumJEE Main 2024 · 6 April, Shift 2Limits

If $\lim_{n\to\infty} \frac{(1^2-1)(n-1)+(2^2-2)(n-2)+\ldots+((n-1)^2-(n-1))}{(1^3+2^3+\ldots+n^3)-(1^2+2^2+\ldots+n^2)}$ is equal to:

A
$\frac{2}{3}$
B
$\frac{1}{3}$
C
$\frac{3}{4}$
D
$\frac{1}{2}$

Answer & step-by-step solution

Sign in to reveal the correct answer, the full step-by-step solution, and the common mistakes for this question.

Sign in to see the solution

Practice more Limits questions

Get unlimited AI-adaptive practice, mastery tracking, and an AI tutor that explains every step - free to start.

Start free trial More on Limits

Related questions