What is the limit as x approaches 2-of 1/(x^2-9) ?

The limit as x approaches 2-of 1/(x^2-9) is -1/5

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limit as x approaches 2-of 1/(x^2-9)

x \to 2 - lim (\frac{1}{x ^{2} - 9})

- \frac{1}{5}

Decimal Notation

- 0.2

Solution steps

x \to 2 - lim (\frac{1}{x ^{2} - 9})

Plug in the value

x = 2

= \frac{1}{2 ^{2} - 9}

Simplify

= - \frac{1}{5}

\int \frac{- 2 x ^{3} + x}{- 4 x ^{4} + 4 x ^{2}} d x

\int \frac{x}{1 - x ^{3}} d x

\int (3 x + 1) e^{2 x} d x

n = 1 \sum \infty n (n - 1) x^{n}

\frac{d y}{d x} = y - x - 1 + (x - y + 2)^{- 1}

What is the limit as x approaches 2-of 1/(x^2-9) ?
The limit as x approaches 2-of 1/(x^2-9) is -1/5