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

The limit as x approaches (2) of 1/((x-2)^2) is infinity

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

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

\infty

Solution steps

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

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

then

x \to a lim f (x) = L

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

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

= \infty

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

x \to 1 lim (\frac{ln ( x )}{9 ^{l n (x)} - x})

x \to - \infty lim (x lo g_{e} (1 - \frac{1}{x}))

x \to 0 lim (2 - cot (x))

x \to \infty lim (1 - 3 x)

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