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

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

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

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

\infty

Solution steps

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

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

then

x \to a lim f (x) = L

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

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

= \infty

\frac{d}{d x} (10 (20 x - x^{\frac{3}{2}}))

x \to 1 lim (\frac{x}{x ^{2} + 7})

y^{^{''}} + 6 y^{^{'}} + 10 y = 0

\int (\frac{2}{1 - x} + \frac{( ln ( x ) ) ^{2}}{x}) d x

\int (8 x^{3} - 10 x^{- 6}) d x

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