What is the limit as x approaches 3 of (6/3)^x ?

The limit as x approaches 3 of (6/3)^x is 8

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limit as x approaches 3 of (6/3)^x

x \to 3 lim ((\frac{6}{3})^{x})

8

Solution steps

x \to 3 lim ((\frac{6}{3})^{x})

Plug in the value

x = 3

= (\frac{6}{3})^{3}

Simplify

= 8

x \to 3 lim (x^{2} + x - 6)

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

x \to 3 lim (2 x^{2} + 2 x - 12)

x \to 3 lim (x^{2} sin (\frac{1}{x}))

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

What is the limit as x approaches 3 of (6/3)^x ?
The limit as x approaches 3 of (6/3)^x is 8