What is the limit as x approaches 3 of (x+1)/(x^2-4) ?

The limit as x approaches 3 of (x+1)/(x^2-4) is 4/5

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limit as x approaches 3 of (x+1)/(x^2-4)

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

\frac{4}{5}

Decimal Notation

0.8

Solution steps

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

Plug in the value

x = 3

= \frac{3 + 1}{3 ^{2} - 4}

Simplify

= \frac{4}{5}

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

n \to 0 + lim ((3 (n))^{\frac{n}{2}})

x \to - \frac{π}{2} - lim (- 8 x - \frac{π}{2})

x \to 0 lim (x cos (e^{\frac{2}{x}}))

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

What is the limit as x approaches 3 of (x+1)/(x^2-4) ?
The limit as x approaches 3 of (x+1)/(x^2-4) is 4/5