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

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

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

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

\infty

Solution steps

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

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

= \infty

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