What is the limit as x approaches 7 of (x-7)/(3x^2-21x) ?

The limit as x approaches 7 of (x-7)/(3x^2-21x) is 1/21

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limit as x approaches 7 of (x-7)/(3x^2-21x)

x \to 7 lim (\frac{x - 7}{3 x ^{2} - 21 x})

\frac{1}{21}

Decimal

0.04761 \dots

Solution steps

x \to 7 lim (\frac{x - 7}{3 x ^{2} - 21 x})

Simplify

\frac{x - 7}{3 x ^{2} - 21 x} : \frac{1}{3 x}

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

Plug in the value

x = 7

= \frac{1}{3 \cdot 7}

Simplify

= \frac{1}{21}

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What is the limit as x approaches 7 of (x-7)/(3x^2-21x) ?
The limit as x approaches 7 of (x-7)/(3x^2-21x) is 1/21