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

The limit as x approaches infinity of x^a is infinity

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limit as x approaches infinity of x^a

x \to \infty lim (x^{a})

\infty

Solution steps

x \to \infty lim (x^{a})

Apply exponent rules

= x \to \infty lim (e^{a l n (x)})

Apply the Limit Chain Rule:

\infty

= \infty

y = 2 x - 2 x^{2}, at x = - 1.5

y = (x + 1)^{x^{2}}, (0, 1)

\int \frac{3}{3 x + 2} d x

\int_{1}^{2} (x^{3}) d x

\frac{d}{d x} (7 - (1.01)^{- x^{2}})

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