A) ? 2
B) ? 1
C) 2
D) 1
Correct Answer: A
Solution :
\[\underset{n\to \infty }{\mathop{\lim }}\,\,\frac{1-{{n}^{2}}}{\Sigma n}\] \[=\underset{n\to \infty }{\mathop{\lim }}\,\frac{(1-n)(1+n)}{\frac{1}{2}n(n+1)}\] \[=\underset{n\to \infty }{\mathop{\lim }}\,\,\frac{2\,(1-n)}{n}\] \[=\underset{n\to \infty }{\mathop{\lim }}\,2\,\left( \frac{1}{n}-1 \right)\]\[=2(0-1)=-2\].
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