What is the limit as y approaches 6 of (2y^2-15y+18)/(3y^2-17y-6) ?

The limit as y approaches 6 of (2y^2-15y+18)/(3y^2-17y-6) is 9/19

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limit as y approaches 6 of (2y^2-15y+18)/(3y^2-17y-6)

y \to 6 lim (\frac{2 y ^{2} - 15 y + 18}{3 y ^{2} - 17 y - 6})

\frac{9}{19}

Decimal Notation

0.47368 \dots

Solution steps

y \to 6 lim (\frac{2 y ^{2} - 15 y + 18}{3 y ^{2} - 17 y - 6})

Simplify

\frac{2 y ^{2} - 15 y + 18}{3 y ^{2} - 17 y - 6} : \frac{2 y - 3}{3 y + 1}

= y \to 6 lim (\frac{2 y - 3}{3 y + 1})

Plug in the value

y = 6

= \frac{2 \cdot 6 - 3}{3 \cdot 6 + 1}

Simplify

= \frac{9}{19}

\int x^{\frac{1}{7}} d x

\int \frac{81}{x ^{4} + 27 x} d x

\frac{d}{d x} (- 7 x^{2} + 400 x)

y^{^{''}} - 4 y = 8 e^{2 x}

x \to 3 lim (x + 12)

What is the limit as y approaches 6 of (2y^2-15y+18)/(3y^2-17y-6) ?
The limit as y approaches 6 of (2y^2-15y+18)/(3y^2-17y-6) is 9/19