What is the limit as x approaches-infinity of 3^{4x} ?

The limit as x approaches-infinity of 3^{4x} is 0

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limit as x approaches-infinity of 3^{4x}

x \to - \infty lim (3^{4 x})

0

Solution steps

x \to - \infty lim (3^{4 x})

Simplify

3^{4 x} : 8 1^{x}

= x \to - \infty lim (8 1^{x})

Apply the common limit:

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

= 0

What is the limit as x approaches-infinity of 3^{4x} ?
The limit as x approaches-infinity of 3^{4x} is 0