lim-n-sin-n-4-n-3-n-2-n-1-n-2-4-

Question Number 98004 by Ar Brandon last updated on 11/Jun/20

\lim_{n \to \infty} [\sin (n) + 4^{n} \times \frac{3}{n^{2}} \times \frac{n + 1}{n^{2} - 4}]

Commented by bobhans last updated on 11/Jun/20

\lim_{n \to \infty} \frac{\sin n}{n} \times \lim_{n \to \infty} \frac{3 . 4^{n}}{n} \times \lim_{n \to \infty} \frac{n + 1}{n^{2} - 4}

= 0 \times \infty \times 0 = 0

[\lim_{n \to \infty} \frac{3 . 4^{n}}{n} = 3 \times \lim_{n \to \infty} \frac{\ln (4) . 4^{n}}{1} = \infty]

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