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

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

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

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

diverges

Solution steps

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

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 ^{2}}) = \infty

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

= diverges

y^{^{'}} + \frac{y}{x} = x y^{2}

(2 x - 1) d x (3 y + 7) d y = 0

\frac{d}{d r ( θ )} (r (θ) cos (θ))

\frac{\partial}{\partial y} (e^{7 yz})

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

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