What is the limit as x approaches infinity of 0.9^x ?

The limit as x approaches infinity of 0.9^x is 0

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limit as x approaches infinity of 0.9^x

x \to \infty lim (0. 9^{x})

0

Solution steps

x \to \infty lim (0. 9^{x})

Apply the common limit:

x \to \infty lim (a^{x}) = 0, 0 < a < 1

= 0

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\int \frac{3 cos ( x )}{sin ^{2} ( x )} d x

tan (x) + \frac{cos ( x )}{1 + sin ( x )}

\frac{d}{d x} (\frac{x - y}{x})

What is the limit as x approaches infinity of 0.9^x ?
The limit as x approaches infinity of 0.9^x is 0