What is the limit as x approaches 3 of 3/(x^2-6x+9) ?

The limit as x approaches 3 of 3/(x^2-6x+9) is infinity

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limit as x approaches 3 of 3/(x^2-6x+9)

x \to 3 lim (\frac{3}{x ^{2} - 6 x + 9})

\infty

Solution steps

x \to 3 lim (\frac{3}{x ^{2} - 6 x + 9})

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

then

x \to a lim f (x) = L

x \to 3 - lim (\frac{3}{x ^{2} - 6 x + 9}) = \infty

x \to 3 + lim (\frac{3}{x ^{2} - 6 x + 9}) = \infty

= \infty

x \to 0 + lim ((g (x))^{\frac{l n ( 2 )}{x}})

x \to 1 lim (\frac{x + 1}{∣ x + 1 ∣})

x \to - \frac{π}{2} - lim (cos (x))

x \to 0 lim (4 - 8 x + 5 x^{2})

x \to 2 lim (x^{3} + 2 x^{2} - 5)

What is the limit as x approaches 3 of 3/(x^2-6x+9) ?
The limit as x approaches 3 of 3/(x^2-6x+9) is infinity