What is the limit as x approaches 2 of (2x+5)^{x-3} ?

The limit as x approaches 2 of (2x+5)^{x-3} is 1/9

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limit as x approaches 2 of (2x+5)^{x-3}

x \to 2 lim ((2 x + 5)^{x - 3})

\frac{1}{9}

Decimal Notation

0.11111 \dots

Solution steps

x \to 2 lim ((2 x + 5)^{x - 3})

Plug in the value

x = 2

= (2 \cdot 2 + 5)^{2 - 3}

Simplify

(2 \cdot 2 + 5)^{2 - 3} : \frac{1}{9}

= \frac{1}{9}

\frac{6 x}{x + 5}, at x = - 3

\int_{- 1}^{1} 0 d x

n = 0 \sum \infty \frac{8}{5 ^{n}}

(x^{3} + 9) e^{x}

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

What is the limit as x approaches 2 of (2x+5)^{x-3} ?
The limit as x approaches 2 of (2x+5)^{x-3} is 1/9