What is the limit as x approaches-2 of (3x+8)^{x+1} ?

The limit as x approaches-2 of (3x+8)^{x+1} is 1/2

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limit as x approaches-2 of (3x+8)^{x+1}

x \to - 2 lim ((3 x + 8)^{x + 1})

\frac{1}{2}

Decimal Notation

0.5

Solution steps

x \to - 2 lim ((3 x + 8)^{x + 1})

Plug in the value

x = - 2

= (3 (- 2) + 8)^{- 2 + 1}

Simplify

(3 (- 2) + 8)^{- 2 + 1} : \frac{1}{2}

= \frac{1}{2}

x \to 0 lim (\frac{x}{∣ x ∣})

a \to 0 lim (a \cdot sin (x + \frac{π}{a}))

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

x \to 0 lim (arctan (2 x))

s \to 1 lim (\frac{s - 1}{∣ s - 1 ∣})

What is the limit as x approaches-2 of (3x+8)^{x+1} ?
The limit as x approaches-2 of (3x+8)^{x+1} is 1/2