What is the limit as x approaches 2 of (x^2+5x-14)/(x^2-11x+18) ?

The limit as x approaches 2 of (x^2+5x-14)/(x^2-11x+18) is -9/7

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limit as x approaches 2 of (x^2+5x-14)/(x^2-11x+18)

x \to 2 lim (\frac{x ^{2} + 5 x - 14}{x ^{2} - 11 x + 18})

- \frac{9}{7}

Decimal Notation

- 1.28571 \dots

Solution steps

x \to 2 lim (\frac{x ^{2} + 5 x - 14}{x ^{2} - 11 x + 18})

Simplify

\frac{x ^{2} + 5 x - 14}{x ^{2} - 11 x + 18} : \frac{x + 7}{x - 9}

= x \to 2 lim (\frac{x + 7}{x - 9})

Plug in the value

x = 2

= \frac{2 + 7}{2 - 9}

Simplify

= - \frac{9}{7}

x \to - 1 lim (4 x + 3)

x \to - 1 lim (\frac{7 x + 3}{x + 1})

x \to c lim (5 x^{2} + b)

x \to 0 + lim (6 x ln (x))

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

What is the limit as x approaches 2 of (x^2+5x-14)/(x^2-11x+18) ?
The limit as x approaches 2 of (x^2+5x-14)/(x^2-11x+18) is -9/7