What is the limit as x approaches 2 of (x^2-3x+2)/(x^2+5x-14) ?

The limit as x approaches 2 of (x^2-3x+2)/(x^2+5x-14) is 1/9

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limit as x approaches 2 of (x^2-3x+2)/(x^2+5x-14)

x \to 2 lim (\frac{x ^{2} - 3 x + 2}{x ^{2} + 5 x - 14})

\frac{1}{9}

Decimal Notation

0.11111 \dots

Solution steps

x \to 2 lim (\frac{x ^{2} - 3 x + 2}{x ^{2} + 5 x - 14})

Simplify

\frac{x ^{2} - 3 x + 2}{x ^{2} + 5 x - 14} : \frac{x - 1}{x + 7}

= x \to 2 lim (\frac{x - 1}{x + 7})

Plug in the value

x = 2

= \frac{2 - 1}{2 + 7}

Simplify

= \frac{1}{9}

t^{2} \cdot e^{- 4 t}

\int sin^{4} (x) cos^{2} (x) d x

(22, 54), (62, 27)

\frac{\partial}{\partial x} (cos (x^{2} y^{2}))

\frac{d}{d t} (sin (3 t))

What is the limit as x approaches 2 of (x^2-3x+2)/(x^2+5x-14) ?
The limit as x approaches 2 of (x^2-3x+2)/(x^2+5x-14) is 1/9