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 infinity

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

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

\infty

Solution steps

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

For

x

approaching

1

from the right

, x > 1 \Rightarrow (x - 1)^{2} > 0

The denominator is a positive quantity approaching 0 from the right

= \infty

x \to 0 lim (cos (x^{3} + 3 x))

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

x \to 0 + lim (\frac{1}{x} - csc (x))

x \to 2 lim (5 x + 6)

x \to 2 lim (\frac{4 ln ( 2 x - 3 )}{2 e ^{2 x - 4} - 2})

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 infinity