What is the limit as x approaches-2 of (3x^2+ax+a+9)/(x^2+x-2) ?

The limit as x approaches-2 of (3x^2+ax+a+9)/(x^2+x-2) is diverges

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limit as x approaches-2 of (3x^2+ax+a+9)/(x^2+x-2)

x \to - 2 lim (\frac{3 x ^{2} + a x + a + 9}{x ^{2} + x - 2})

diverges

Solution steps

x \to - 2 lim (\frac{3 x ^{2} + a x + a + 9}{x ^{2} + x - 2})

x \to a - lim f (x) \neq = x \to a + lim f (x)

then the limit does not exist

x \to - 2 + lim (\frac{3 x ^{2} + a x + a + 9}{x ^{2} + x - 2}) = - \infty

x \to - 2 - lim (\frac{3 x ^{2} + a x + a + 9}{x ^{2} + x - 2}) = \infty

= diverges

\frac{5 s e ^{- 2 s}}{2 s ^{2} + 50}

\int \frac{4 x ^{2} - 12 x - 19}{( x + 1 ) ^{2} ( x - 2 )} d x

\frac{d y}{d x} (x + 3) = y

\int e^{2 y} d y

\frac{d y}{d x} = (3 x^{2} \cdot (1 + y^{2}))

What is the limit as x approaches-2 of (3x^2+ax+a+9)/(x^2+x-2) ?
The limit as x approaches-2 of (3x^2+ax+a+9)/(x^2+x-2) is diverges