What is the limit as x approaches 1 of (11x^2-99)/(x^2-20x+51) ?

The limit as x approaches 1 of (11x^2-99)/(x^2-20x+51) is -11/4

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limit as x approaches 1 of (11x^2-99)/(x^2-20x+51)

x \to 1 lim (\frac{11 x ^{2} - 99}{x ^{2} - 20 x + 51})

- \frac{11}{4}

Decimal Notation

- 2.75

Solution steps

x \to 1 lim (\frac{11 x ^{2} - 99}{x ^{2} - 20 x + 51})

Plug in the value

x = 1

= \frac{11 \cdot 1 ^{2} - 99}{1 ^{2} - 20 \cdot 1 + 51}

Simplify

\frac{11 \cdot 1 ^{2} - 99}{1 ^{2} - 20 \cdot 1 + 51} : - \frac{11}{4}

= - \frac{11}{4}

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What is the limit as x approaches 1 of (11x^2-99)/(x^2-20x+51) ?
The limit as x approaches 1 of (11x^2-99)/(x^2-20x+51) is -11/4