Let f(x)=limn→∞ x2n−1x2n+1 Then

# Let $f\left(x\right)=\underset{n\to \mathrm{\infty }}{lim} \frac{{x}^{2n}-1}{{x}^{2n}+1}$ Then

1. A

$f\left(x\right)=\left\{\begin{array}{r}1,|x|>1 \\ -1,|x| <1\end{array}\right\$

2. B

$f\left(x\right)=\left\{\begin{array}{r}1,|x|<1\\ -1,|x|>1\end{array}\right\$

3. C

$f\left(x\right)$ is not defined for any value of $x$

4. D

$f\left(x\right)=1$ for $|x|=1$

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