What is the limit as x approaches 1 of (3x^2+5x-8)/(x^2-1) ?

The limit as x approaches 1 of (3x^2+5x-8)/(x^2-1) is 11/2

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limit as x approaches 1 of (3x^2+5x-8)/(x^2-1)

x \to 1 lim (\frac{3 x ^{2} + 5 x - 8}{x ^{2} - 1})

\frac{11}{2}

Decimal

5.5

Solution steps

x \to 1 lim (\frac{3 x ^{2} + 5 x - 8}{x ^{2} - 1})

Simplify

\frac{3 x ^{2} + 5 x - 8}{x ^{2} - 1} : \frac{3 x + 8}{x + 1}

= x \to 1 lim (\frac{3 x + 8}{x + 1})

Plug in the value

x = 1

= \frac{3 \cdot 1 + 8}{1 + 1}

Simplify

= \frac{11}{2}

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What is the limit as x approaches 1 of (3x^2+5x-8)/(x^2-1) ?
The limit as x approaches 1 of (3x^2+5x-8)/(x^2-1) is 11/2