What is the limit as x approaches infinity of (3x-7)^{2x-1} ?

The limit as x approaches infinity of (3x-7)^{2x-1} is infinity

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limit as x approaches infinity of (3x-7)^{2x-1}

x \to \infty lim ((3 x - 7)^{2 x - 1})

\infty

Solution steps

x \to \infty lim ((3 x - 7)^{2 x - 1})

Apply exponent rules

= x \to \infty lim (e^{(2 x - 1) l n (3 x - 7)})

Apply the Limit Chain Rule:

\infty

= \infty

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What is the limit as x approaches infinity of (3x-7)^{2x-1} ?
The limit as x approaches infinity of (3x-7)^{2x-1} is infinity