What is the limit as x approaches 19 of (x-19)/(x^2-361) ?

The limit as x approaches 19 of (x-19)/(x^2-361) is 1/38

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limit as x approaches 19 of (x-19)/(x^2-361)

x \to 19 lim (\frac{x - 19}{x ^{2} - 361})

\frac{1}{38}

Decimal

0.02631 \dots

Solution steps

x \to 19 lim (\frac{x - 19}{x ^{2} - 361})

Simplify

\frac{x - 19}{x ^{2} - 361} : \frac{1}{x + 19}

= x \to 19 lim (\frac{1}{x + 19})

Plug in the value

x = 19

= \frac{1}{19 + 19}

Simplify

= \frac{1}{38}

What is the limit as x approaches 19 of (x-19)/(x^2-361) ?
The limit as x approaches 19 of (x-19)/(x^2-361) is 1/38