What is the limit as x approaches-5 of (1/5+1/x)/(5+x) ?

The limit as x approaches-5 of (1/5+1/x)/(5+x) is -1/25

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limit as x approaches-5 of (1/5+1/x)/(5+x)

x \to - 5 lim (\frac{\frac{1}{5} + \frac{1}{x}}{5 + x})

- \frac{1}{25}

Decimal

- 0.04

Solution steps

x \to - 5 lim (\frac{\frac{1}{5} + \frac{1}{x}}{5 + x})

Simplify

\frac{\frac{1}{5} + \frac{1}{x}}{5 + x} : \frac{1}{5 x}

= x \to - 5 lim (\frac{1}{5 x})

Plug in the value

x = - 5

= \frac{1}{5 ( - 5 )}

Simplify

= - \frac{1}{25}

x \to 1 lim (\frac{1}{( 1 - x )})

d er i v a t i v e 7 lo g_{7} (x)

d er i v a t i v e f (x) = e^{6 x}

\int cos (2 x) cos (3 x) d x

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

What is the limit as x approaches-5 of (1/5+1/x)/(5+x) ?
The limit as x approaches-5 of (1/5+1/x)/(5+x) is -1/25