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

The limit as x approaches 3 of (x-1)/(x^2-2) is 2/7

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

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

\frac{2}{7}

Decimal

0.28571 \dots

Solution steps

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

Plug in the value

x = 3

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

Simplify

= \frac{2}{7}

\frac{d}{d x} (x^{6} + x)

x y^{2} d x = d y - x d x

x \to 0 lim (sin (\frac{4 π}{x}))

f (x) = 5 x^{2}

x \to 0 lim (\frac{tan ( 9 x )}{x})

What is the limit as x approaches 3 of (x-1)/(x^2-2) ?
The limit as x approaches 3 of (x-1)/(x^2-2) is 2/7