What is the limit as x approaches infinity of 0.4^x ?

The limit as x approaches infinity of 0.4^x is 0

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limit as x approaches infinity of 0.4^x

x \to \infty lim (0. 4^{x})

0

Solution steps

x \to \infty lim (0. 4^{x})

Apply the common limit:

x \to \infty lim (a^{x}) = 0, 0 < a < 1

= 0

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What is the limit as x approaches infinity of 0.4^x ?
The limit as x approaches infinity of 0.4^x is 0