What is the limit as x approaches 0 of (3x+9)^x ?

The limit as x approaches 0 of (3x+9)^x is 1

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limit as x approaches 0 of (3x+9)^x

x \to 0 lim ((3 x + 9)^{x})

1

Solution steps

x \to 0 lim ((3 x + 9)^{x})

Plug in the value

x = 0

= (3 \cdot 0 + 9)^{0}

Simplify

= 1

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\frac{d}{d x} (2 x^{\frac{1}{2}} + 2 x^{- 4} - 1)

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

\int \frac{- 5 x}{x ^{2} + 3 x + 4} d x

\frac{d}{d x} (ln (\frac{( 4 - 3 x ) ^{3}}{4 x - 3}))

What is the limit as x approaches 0 of (3x+9)^x ?
The limit as x approaches 0 of (3x+9)^x is 1