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

The limit as x approaches-2 of (x^2)/(x-1) is -4/3

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

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

- \frac{4}{3}

Decimal Notation

- 1.33333 \dots

Solution steps

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

Plug in the value

x = - 2

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

Simplify

\frac{( - 2 ) ^{2}}{- 2 - 1} : - \frac{4}{3}

= - \frac{4}{3}

\frac{sin ( x ^{2} )}{x ^{2}}

\int \frac{1 + x + x}{x} d x

\frac{d y}{d x} = \frac{13 x}{y}

x ∣ x ∣

\int \frac{3 x}{1} d x

What is the limit as x approaches-2 of (x^2)/(x-1) ?
The limit as x approaches-2 of (x^2)/(x-1) is -4/3