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

The limit as x approaches-3 of (x^2-2)/(x+1) is -7/2

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limit as x approaches-3 of (x^2-2)/(x+1)

x \to - 3 lim (\frac{x ^{2} - 2}{x + 1})

- \frac{7}{2}

Decimal Notation

- 3.5

Solution steps

x \to - 3 lim (\frac{x ^{2} - 2}{x + 1})

Plug in the value

x = - 3

= \frac{( - 3 ) ^{2} - 2}{- 3 + 1}

Simplify

\frac{( - 3 ) ^{2} - 2}{- 3 + 1} : - \frac{7}{2}

= - \frac{7}{2}

x \to 0 - lim ((1 - e^{x})^{2 x})

x \to 5 lim (\frac{x}{x ^{2} + 1})

x \to 0 lim (\frac{3 x - 1}{x - 2})

x \to - 1 lim (5 x^{3} - x^{2} + 3 x + 7)

x \to 0 lim (\frac{5 sin ( 3 x )}{x})

What is the limit as x approaches-3 of (x^2-2)/(x+1) ?
The limit as x approaches-3 of (x^2-2)/(x+1) is -7/2