What is the limit as x approaches 3 of 1/(9-x^2) ?

The limit as x approaches 3 of 1/(9-x^2) is diverges

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limit as x approaches 3 of 1/(9-x^2)

x \to 3 lim (\frac{1}{9 - x ^{2}})

diverges

Solution steps

x \to 3 lim (\frac{1}{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{1}{9 - x ^{2}}) = - \infty

x \to 3 - lim (\frac{1}{9 - x ^{2}}) = \infty

= diverges

x \to \infty lim (6 (x))

x \to 2 lim (5 x + 8)

x \to \frac{3}{2} lim (\frac{( 8 x ^{3} - 27 )}{4 x ^{2} - 9})

t \to 0 lim (cot (t) - csc (t))

x \to 5 lim (x - 1)

What is the limit as x approaches 3 of 1/(9-x^2) ?
The limit as x approaches 3 of 1/(9-x^2) is diverges