What is the limit as x approaches 1 of (x-1)/(x^2-8x+7) ?

The limit as x approaches 1 of (x-1)/(x^2-8x+7) is -1/6

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limit as x approaches 1 of (x-1)/(x^2-8x+7)

x \to 1 lim (\frac{x - 1}{x ^{2} - 8 x + 7})

- \frac{1}{6}

Decimal

- 0.16666 \dots

Solution steps

x \to 1 lim (\frac{x - 1}{x ^{2} - 8 x + 7})

Simplify

\frac{x - 1}{x ^{2} - 8 x + 7} : \frac{1}{x - 7}

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

Plug in the value

x = 1

= \frac{1}{1 - 7}

Simplify

= - \frac{1}{6}

x \to \infty lim (x \cdot (e^{0 x} - 1))

2 \to 10 lim (2^{2} + 4)

x \to 2 lim (∣ x - 1 ∣)

x \to \infty lim (\frac{ln ( 7 e ^{3 x} + 2 x ^{5} )}{4 x + 3})

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

What is the limit as x approaches 1 of (x-1)/(x^2-8x+7) ?
The limit as x approaches 1 of (x-1)/(x^2-8x+7) is -1/6