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

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

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

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

diverges

Solution steps

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

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

then the limit does not exist

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

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

= diverges

\frac{d}{d x} (- \frac{1}{2} x^{- \frac{3}{2}})

y^{^{''}} - 2 y^{^{'}} + 5 y = e^{x} sin (2 x)

y^{^{'}} + y (\frac{3}{x} + \frac{x}{2}) = 0

f (x) = \frac{1}{7 x - 4}

x^{3} + x + 12 x^{\frac{1}{2}}

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