What is the limit as x approaches-3 of (4x)/(x-3) ?

The limit as x approaches-3 of (4x)/(x-3) is 2

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limit as x approaches-3 of (4x)/(x-3)

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

2

Solution steps

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

Plug in the value

x = - 3

= \frac{4 ( - 3 )}{- 3 - 3}

Simplify

\frac{4 ( - 3 )}{- 3 - 3} : 2

= 2

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What is the limit as x approaches-3 of (4x)/(x-3) ?
The limit as x approaches-3 of (4x)/(x-3) is 2