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

\frac{d y}{d x} = \frac{y ^{2} + 5 x x ^{2} + y ^{2}}{x y}

9 y^{^{''}} - 18 y^{^{'}} + 11 y = 0

x \to - 4 lim (\frac{2 x + 3}{x + 4})

\frac{d}{d x} ((a - x) a + x)

\frac{d}{d x} (e^{2 x} cos (π x))

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