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

The limit as x approaches 3 of (x^2-4)/(x+3) is 5/6

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limit as x approaches 3 of (x^2-4)/(x+3)

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

\frac{5}{6}

Decimal

0.83333 \dots

Solution steps

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

Plug in the value

x = 3

= \frac{3 ^{2} - 4}{3 + 3}

Simplify

= \frac{5}{6}

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

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

t \to 0 lim (\frac{e ^{7 t} - 1}{t})

x \to 0 lim (e^{x} cos (x))

x \to 2 lim (5 x + 2)

What is the limit as x approaches 3 of (x^2-4)/(x+3) ?
The limit as x approaches 3 of (x^2-4)/(x+3) is 5/6