lim-x-3-x-3-x-3-x-3-x-

Question Number 10830 by Saham last updated on 26/Feb/17

\lim_{x \to \infty} \frac{3^{x} - 3^{- x}}{3^{x} + 3^{- x}}

Answered by bahmanfeshki last updated on 26/Feb/17

\lim_{x \to \infty} \frac{3^{x} (1 - \frac{1}{3^{2 x}})}{3^{x} (1 + \frac{1}{3^{2 x}})} = 1

Answered by FilupS last updated on 27/Feb/17

L = \lim_{x \to \infty} \frac{3^{x} - 3^{- x}}{3^{x} + 3^{- x}}

L = \lim_{x \to \infty} \frac{1 - 3^{- 2 x}}{1 + 3^{- 2 x}} = \frac{1 - 0}{1 + 0}

L = 1

Commented by Saham last updated on 27/Feb/17

God bless you sir .

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