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

\frac{d}{d x} ((x - 1) (ln (x)))

\frac{\partial}{\partial x} (3 sin (4 x))

\frac{d}{d x} (- \frac{x ^{4}}{4})

\frac{d y}{y ^{3}} = x^{- 2} d x

\int \frac{3 ^{x}}{1 + 9 ^{x}} d x

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