Evaluate: _ n (1^2 - 2^2 + 3^2 - 4^2 + 5^2 + n terms ) n^2

MATHEMATICS · Subjective · ISC · Mathematics · Algebra · Algebra

Problem

Evaluate:

\lim_{n \rightarrow \infty} \frac{(1^2 - 2^2 + 3^2 - 4^2 + 5^2 + \dots \text{ } n \text{ terms})}{n^2}