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Q. $\displaystyle\lim _{n \rightarrow \infty} \frac{-3 n+(-1)^{n}}{4 n-(-1)^{n}}$ is equal to

Limits and Derivatives

Solution:

$\displaystyle\lim _{n \rightarrow \infty} \frac{-3+\frac{(-1)^{n}}{n}}{4+\frac{(-1)^{n}}{n}}=\frac{-3}{4}$