What is the limit as x approaches 12 of (x-12)/(x^2-144) ?

The limit as x approaches 12 of (x-12)/(x^2-144) is 1/24

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limit as x approaches 12 of (x-12)/(x^2-144)

x \to 12 lim (\frac{x - 12}{x ^{2} - 144})

\frac{1}{24}

Decimal

0.04166 \dots

Solution steps

x \to 12 lim (\frac{x - 12}{x ^{2} - 144})

Simplify

\frac{x - 12}{x ^{2} - 144} : \frac{1}{x + 12}

= x \to 12 lim (\frac{1}{x + 12})

Plug in the value

x = 12

= \frac{1}{12 + 12}

Simplify

= \frac{1}{24}

What is the limit as x approaches 12 of (x-12)/(x^2-144) ?
The limit as x approaches 12 of (x-12)/(x^2-144) is 1/24