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

The limit as x approaches 2 of (5x^3)/(x+3) is 8

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

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

8

Solution steps

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

Plug in the value

x = 2

= \frac{5 \cdot 2 ^{3}}{2 + 3}

Simplify

= 8

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What is the limit as x approaches 2 of (5x^3)/(x+3) ?
The limit as x approaches 2 of (5x^3)/(x+3) is 8