What is the limit as n approaches infinity of 5^{-n} ?

The limit as n approaches infinity of 5^{-n} is 0

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limit as n approaches infinity of 5^{-n}

n \to \infty lim (5^{- n})

0

Solution steps

n \to \infty lim (5^{- n})

Apply exponent rules

= n \to \infty lim (e^{- n l n (5)})

Apply the Limit Chain Rule:

0

= 0

\int 3 x^{2} - 1 d x

\frac{d}{d x} (e^{x + 3})

\int_{0}^{1} \frac{- 10 y}{e ^{2 y}} d y

x \to 3 + lim (\frac{( x - 8 )}{x - 3})

x \to 0 + lim ((x) (e^{\frac{1}{x}}))

What is the limit as n approaches infinity of 5^{-n} ?
The limit as n approaches infinity of 5^{-n} is 0