What is the limit as x approaches 3 of (2x^2-10x+12)/(x^2+3x-10) ?

The limit as x approaches 3 of (2x^2-10x+12)/(x^2+3x-10) is 0

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limit as x approaches 3 of (2x^2-10x+12)/(x^2+3x-10)

x \to 3 lim (\frac{2 x ^{2} - 10 x + 12}{x ^{2} + 3 x - 10})

0

Solution steps

x \to 3 lim (\frac{2 x ^{2} - 10 x + 12}{x ^{2} + 3 x - 10})

Plug in the value

x = 3

= \frac{2 \cdot 3 ^{2} - 10 \cdot 3 + 12}{3 ^{2} + 3 \cdot 3 - 10}

Simplify

\frac{2 \cdot 3 ^{2} - 10 \cdot 3 + 12}{3 ^{2} + 3 \cdot 3 - 10} : 0

= 0

x \to 0 lim (\frac{5 x + 3}{x})

x \to 4 + lim ((4 - x) \cdot ln (x - 4))

x \to 1 lim (1 - x + ln (x))

y \to 0 lim (\frac{sin ( 3 y )}{2 y})

x \to \infty - lim (ln (x))

What is the limit as x approaches 3 of (2x^2-10x+12)/(x^2+3x-10) ?
The limit as x approaches 3 of (2x^2-10x+12)/(x^2+3x-10) is 0