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

The limit as x approaches 2 of (x^2)/(x+3) is 4/5

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

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

\frac{4}{5}

Decimal

0.8

Solution steps

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

Plug in the value

x = 2

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

Simplify

= \frac{4}{5}

x \to 4 lim (0)

x \to \infty lim ((\frac{x + 3}{x})^{2 x - 7})

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

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

x \to 0 - lim (\frac{1}{x ^{2} - x})

What is the limit as x approaches 2 of (x^2)/(x+3) ?
The limit as x approaches 2 of (x^2)/(x+3) is 4/5