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

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

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

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

- \frac{1}{2}

Solution steps

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

Plug in the value

x = \frac{1}{2}

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

Simplify

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

= - \frac{1}{2}

y = tan^{2} (9 x)

x \frac{d y}{d x} + y = x

\int (x e^{3 x}) d x

\int \frac{1}{x ln ( 4 x )} d x

y = (\frac{4 x ^{2} - 5}{2 - x})^{3}

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