What is the limit as x approaches infinity of 7^{-x} ?

The limit as x approaches infinity of 7^{-x} is 0

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limit as x approaches infinity of 7^{-x}

x \to \infty lim (7^{- x})

0

Solution steps

x \to \infty lim (7^{- x})

Apply exponent rules

= x \to \infty lim (e^{- x l n (7)})

Apply the Limit Chain Rule:

0

= 0

\frac{\partial}{\partial x} (\frac{x + 6 y}{y ^{2} + 3 x ^{2}})

\int_{1}^{4} \frac{2}{x ^{2} + 4 x + 4} d x

3 t - e^{- 3 t}

\frac{\partial}{\partial x} (cos (8 y - 2 x))

\frac{\partial}{\partial y} (\frac{x}{x ^{2} + y ^{2}})

What is the limit as x approaches infinity of 7^{-x} ?
The limit as x approaches infinity of 7^{-x} is 0