What is the limit as x approaches infinity of 3^{-x} ?

The limit as x approaches infinity of 3^{-x} is 0

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limit as x approaches infinity of 3^{-x}

x \to \infty lim (3^{- x})

0

Solution steps

x \to \infty lim (3^{- x})

Apply exponent rules

= x \to \infty lim (e^{- x l n (3)})

Apply the Limit Chain Rule:

0

= 0

(1, - 1), (5, - 7)

\frac{d}{d x} (arctan (x) + arctan (\frac{1}{x}))

\int_{0}^{2} (2 x - 3)^{5} d x

f (x) = x + \frac{1}{x}

\int \frac{4}{16 + x ^{2}} d x

What is the limit as x approaches infinity of 3^{-x} ?
The limit as x approaches infinity of 3^{-x} is 0