What is the limit as x approaches infinity of 3^{2x} ?

The limit as x approaches infinity of 3^{2x} is infinity

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limit as x approaches infinity of 3^{2x}

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

\infty

Solution steps

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

Simplify

3^{2 x} : 9^{x}

= x \to \infty lim (9^{x})

Apply the common limit:

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

= \infty

x \to 1 - lim (\frac{3 x + 65 - 4}{x + 1})

x \to 0 lim ([x (x - 2)])

x \to - 5 lim (- 2 x - 5)

x \to \frac{π}{6} lim (sin^{x} (x))

x \to 1 lim (3^{\frac{1}{x - 1}})

What is the limit as x approaches infinity of 3^{2x} ?
The limit as x approaches infinity of 3^{2x} is infinity