What is the limit as x approaches 3/2 of (4x^2+12x+9)/(2x-3) ?

The limit as x approaches 3/2 of (4x^2+12x+9)/(2x-3) is diverges

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limit as x approaches 3/2 of (4x^2+12x+9)/(2x-3)

x \to \frac{3}{2} lim (\frac{4 x ^{2} + 12 x + 9}{2 x - 3})

diverges

Solution steps

x \to \frac{3}{2} lim (\frac{4 x ^{2} + 12 x + 9}{2 x - 3})

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

then the limit does not exist

x \to \frac{3}{2} + lim (\frac{4 x ^{2} + 12 x + 9}{2 x - 3}) = \infty

x \to \frac{3}{2} - lim (\frac{4 x ^{2} + 12 x + 9}{2 x - 3}) = - \infty

= diverges

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

\int_{0}^{\infty} x e^{- \frac{x}{2}} d x

\int_{0}^{π} 5 e^{x} sin (x) d x

n = 1 \sum \infty 2

(\frac{x + 6}{x - 6})^{5}

What is the limit as x approaches 3/2 of (4x^2+12x+9)/(2x-3) ?
The limit as x approaches 3/2 of (4x^2+12x+9)/(2x-3) is diverges