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

The limit as x approaches 0 of 2/(sqrt(x+5)) is 2/(sqrt(5))

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limit as x approaches 0 of 2/(sqrt(x+5))

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

\frac{2}{5}

Decimal Notation

0.89442 \dots

Solution steps

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

Plug in the value

x = 0

= \frac{2}{0 + 5}

Simplify

= \frac{2}{5}

x^{2} + y^{2} = c^{2}

x \to - 2 lim (\frac{x ^{2} + 5 x + 6}{x})

\int \frac{2 x + 18}{x ^{2} + 10 x + 24} d x

y = ln (9 + x^{2})

\frac{d}{d x} ((\frac{x ^{2} + 2 x}{sin ( x )})^{3})

What is the limit as x approaches 0 of 2/(sqrt(x+5)) ?
The limit as x approaches 0 of 2/(sqrt(x+5)) is 2/(sqrt(5))