What is the limit as x approaches-2 of (10+5x)/(x-2) ?

The limit as x approaches-2 of (10+5x)/(x-2) is 0

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limit as x approaches-2 of (10+5x)/(x-2)

x \to - 2 lim (\frac{10 + 5 x}{x - 2})

0

Solution steps

x \to - 2 lim (\frac{10 + 5 x}{x - 2})

Plug in the value

x = - 2

= \frac{10 + 5 ( - 2 )}{- 2 - 2}

Simplify

\frac{10 + 5 ( - 2 )}{- 2 - 2} : 0

= 0

x \to 3 lim (\frac{5 x - 6}{4 x + 3})

x \to - 1 - lim (\frac{x + 4}{2 x + 3})

x \to 2 lim (4 x^{2} - 8 x + 5)

x \to - 1 lim (5 x)

z \to 2 + lim (\frac{z + 7}{z ^{2} - 4})

What is the limit as x approaches-2 of (10+5x)/(x-2) ?
The limit as x approaches-2 of (10+5x)/(x-2) is 0