What is the limit as x approaches 5 of (x^2-7x+10)/(x^2-25) ?

The limit as x approaches 5 of (x^2-7x+10)/(x^2-25) is 3/10

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limit as x approaches 5 of (x^2-7x+10)/(x^2-25)

x \to 5 lim (\frac{x ^{2} - 7 x + 10}{x ^{2} - 25})

\frac{3}{10}

Decimal

0.3

Solution steps

x \to 5 lim (\frac{x ^{2} - 7 x + 10}{x ^{2} - 25})

Simplify

\frac{x ^{2} - 7 x + 10}{x ^{2} - 25} : \frac{x - 2}{x + 5}

= x \to 5 lim (\frac{x - 2}{x + 5})

Plug in the value

x = 5

= \frac{5 - 2}{5 + 5}

Simplify

= \frac{3}{10}

What is the limit as x approaches 5 of (x^2-7x+10)/(x^2-25) ?
The limit as x approaches 5 of (x^2-7x+10)/(x^2-25) is 3/10