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

The limit as x approaches 3 of (2x+2)^{x+1} is 4096

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limit as x approaches 3 of (2x+2)^{x+1}

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

4096

Solution steps

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

Plug in the value

x = 3

= (2 \cdot 3 + 2)^{3 + 1}

Simplify

= 4096

x \to 0 lim (\frac{2 x ^{2} - ∣ x ∣}{x})

x \to 2 lim (\frac{( 5 x - 5 )}{5})

x \to 3 lim ([x])

x \to 0 lim (∣ x ∣ ln (x + 1))

x \to 0 lim ((1 + \frac{x}{4})^{\frac{5}{x}})

What is the limit as x approaches 3 of (2x+2)^{x+1} ?
The limit as x approaches 3 of (2x+2)^{x+1} is 4096