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

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

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

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

\infty

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}) = \infty, a > 1

= \infty

t \to 0 lim (r (t) t^{2} + t + 1)

x \to 4 lim (6 x - 2)

x \to 3 lim (2 x^{2} + 7)

x \to 3 lim (sin^{2} (x))

x \to - 2 lim (x^{3} + 7)

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