What is the limit as y approaches 3 of (y^3-13y+12)/(y^3-14y+15) ?

The limit as y approaches 3 of (y^3-13y+12)/(y^3-14y+15) is 14/13

Popular >

limit as y approaches 3 of (y^3-13y+12)/(y^3-14y+15)

y \to 3 lim (\frac{y ^{3} - 13 y + 12}{y ^{3} - 14 y + 15})

\frac{14}{13}

Decimal Notation

1.07692 \dots

Solution steps

y \to 3 lim (\frac{y ^{3} - 13 y + 12}{y ^{3} - 14 y + 15})

Simplify

\frac{y ^{3} - 13 y + 12}{y ^{3} - 14 y + 15} : \frac{( y - 1 ) ( y + 4 )}{y ^{2} + 3 y - 5}

= y \to 3 lim (\frac{( y - 1 ) ( y + 4 )}{y ^{2} + 3 y - 5})

Plug in the value

y = 3

= \frac{( 3 - 1 ) ( 3 + 4 )}{3 ^{2} + 3 \cdot 3 - 5}

Simplify

\frac{( 3 - 1 ) ( 3 + 4 )}{3 ^{2} + 3 \cdot 3 - 5} : \frac{14}{13}

= \frac{14}{13}

x \to 0 lim (\frac{tan ( 4 x )}{2 x})

x \to - 7 lim (\frac{4 x - 1}{x + 7})

x \to 8 + lim (\frac{x}{x - 8})

h \to 0 lim (f (x, h) (x + h))

x \to 0 lim ((4 x)^{x})

What is the limit as y approaches 3 of (y^3-13y+12)/(y^3-14y+15) ?
The limit as y approaches 3 of (y^3-13y+12)/(y^3-14y+15) is 14/13