Functions Question 321

The value of $ \underset{n,\to ,\infty }{\mathop{\lim }},\frac{1-n^{2}}{n} $ will be

[UPSEAT 1999]

Options:

? 2

? 1

2

1

Show Answer

Answer:

Correct Answer: A

Solution:

$ \underset{n\to \infty }{\mathop{\lim }}\frac{1-n^{2}}{n} $ $ =\underset{n\to \infty }{\mathop{\lim }},\frac{(1-n)(1+n)}{n} $ $ =\underset{n\to \infty }{\mathop{\lim }}\frac{2,(1-n)}{n} $ $ =\underset{n\to \infty }{\mathop{\lim }},2,( \frac{1}{n}-1 ) $ $ =2(0-1)=-2 $ .



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