What is the limit as x approaches-3-of |(-2x)/(x+5)| ?

The limit as x approaches-3-of |(-2x)/(x+5)| is 3

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limit as x approaches-3-of |(-2x)/(x+5)|

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

3

Solution steps

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

Plug in the value

x = - 3

= \frac{- 2 ( - 3 )}{- 3 + 5}

Simplify

\frac{- 2 ( - 3 )}{- 3 + 5} : 3

= 3

x \to 0 lim (\frac{- 5}{x})

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

x \to 0 lim (arctan (1))

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

x \to 0 lim (\frac{1}{x} - 2 csc (x))

What is the limit as x approaches-3-of |(-2x)/(x+5)| ?
The limit as x approaches-3-of |(-2x)/(x+5)| is 3