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

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

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

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

0

Solution steps

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

Apply exponent rules

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

Apply the Limit Chain Rule:

0

= 0

d er i v a t i v e y = (x^{3} - 2)^{2}

t a y l or (x)^{(\frac{1}{3})}

\frac{\partial}{\partial x} (x^{7} y z^{2} + 3 yz)

\int_{0}^{1} x - x^{3} d x

y^{^{'}} (1 + x^{2}) + (1 + y^{2}) = 0

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