What is the limit as x approaches-infinity of 0.1^x ?

The limit as x approaches-infinity of 0.1^x is infinity

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limit as x approaches-infinity of 0.1^x

x \to - \infty lim (0. 1^{x})

\infty

Solution steps

x \to - \infty lim (0. 1^{x})

Apply the common limit:

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

= \infty

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What is the limit as x approaches-infinity of 0.1^x ?
The limit as x approaches-infinity of 0.1^x is infinity