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

The limit as x approaches-1 of 1/((x-1)^2) is 1/4

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

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

\frac{1}{4}

Decimal

0.25

Solution steps

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

Plug in the value

x = - 1

= \frac{1}{( - 1 - 1 ) ^{2}}

Simplify

\frac{1}{( - 1 - 1 ) ^{2}} : \frac{1}{4}

= \frac{1}{4}

x \to (0) lim (\frac{x - y}{x + y})

x \to 0 + lim (sin^{x} (\frac{1}{x}))

θ \to 0 lim (cos (θ))

x \to 0 lim (x^{4} sin (\frac{5}{x}))

x \to - 3 lim (x (2 x))

What is the limit as x approaches-1 of 1/((x-1)^2) ?
The limit as x approaches-1 of 1/((x-1)^2) is 1/4