What is the limit as x approaches 2 of 4/((x-2)^2) ?

The limit as x approaches 2 of 4/((x-2)^2) is infinity

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limit as x approaches 2 of 4/((x-2)^2)

x \to 2 lim (\frac{4}{( x - 2 ) ^{2}})

\infty

Solution steps

x \to 2 lim (\frac{4}{( 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{4}{( x - 2 ) ^{2}}) = \infty

x \to 2 + lim (\frac{4}{( x - 2 ) ^{2}}) = \infty

= \infty

f (x) = 322560 (2 x + 5)

\frac{d y}{d x} = sin (5 x), y (0) = 2

\frac{d ^{3}}{d x ^{3}} (x + 1)

n = 0 \sum \infty \frac{n !}{5 ^{n}}

(4, - 7), (2, - 1)

What is the limit as x approaches 2 of 4/((x-2)^2) ?
The limit as x approaches 2 of 4/((x-2)^2) is infinity