What is the limit as x approaches 0 of 4/((5+x)^2-2) ?

The limit as x approaches 0 of 4/((5+x)^2-2) is 4/23

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limit as x approaches 0 of 4/((5+x)^2-2)

x \to 0 lim (\frac{4}{( 5 + x ) ^{2} - 2})

\frac{4}{23}

Decimal Notation

0.17391 \dots

Solution steps

x \to 0 lim (\frac{4}{( 5 + x ) ^{2} - 2})

Plug in the value

x = 0

= \frac{4}{( 5 + 0 ) ^{2} - 2}

Simplify

= \frac{4}{23}

y = ln (x^{14})

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

\int \frac{( 8 + 3 x - x ^{2} )}{( 2 x + 3 ) ( x + 2 ) ^{2}} d x

\frac{\partial}{\partial x} (3 e^{x y})

- ln (1 - x)

What is the limit as x approaches 0 of 4/((5+x)^2-2) ?
The limit as x approaches 0 of 4/((5+x)^2-2) is 4/23