What is the limit as x approaches 6+of (-5x)/(x+6) ?

The limit as x approaches 6+of (-5x)/(x+6) is -5/2

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limit as x approaches 6+of (-5x)/(x+6)

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

- \frac{5}{2}

Solution steps

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

Plug in the value

x = 6

= \frac{- 5 \cdot 6}{6 + 6}

Simplify

\frac{- 5 \cdot 6}{6 + 6} : - \frac{5}{2}

= - \frac{5}{2}

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

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

\frac{\partial}{\partial y} (\frac{x + y}{x - y})

\int_{1}^{3} \frac{( 3 x ^{2} - 7 )}{x ^{3}} d x

f (x) = x^{3} e^{4 x}

What is the limit as x approaches 6+of (-5x)/(x+6) ?
The limit as x approaches 6+of (-5x)/(x+6) is -5/2