What is the limit as x approaches 4 of (2/(x+1)-4/(x+6))/(x+4) ?

The limit as x approaches 4 of (2/(x+1)-4/(x+6))/(x+4) is 0

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limit as x approaches 4 of (2/(x+1)-4/(x+6))/(x+4)

x \to 4 lim (\frac{\frac{2}{x + 1} - \frac{4}{x + 6}}{x + 4})

0

Solution steps

x \to 4 lim (\frac{\frac{2}{x + 1} - \frac{4}{x + 6}}{x + 4})

Plug in the value

x = 4

= \frac{\frac{2}{4 + 1} - \frac{4}{4 + 6}}{4 + 4}

Simplify

\frac{\frac{2}{4 + 1} - \frac{4}{4 + 6}}{4 + 4} : 0

= 0

What is the limit as x approaches 4 of (2/(x+1)-4/(x+6))/(x+4) ?
The limit as x approaches 4 of (2/(x+1)-4/(x+6))/(x+4) is 0