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

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

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

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

\frac{4}{3}

Decimal

1.33333 \dots

Solution steps

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

Plug in the value

x = - 3

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

Simplify

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

= \frac{4}{3}

\frac{d y}{d x} = \frac{2 x}{1 + x ^{2}}

x \to 0 + lim ((4 x)^{\frac{3}{x}})

\frac{5 x ^{4} + x ^{2}}{2}

x + 49

\frac{d}{d x} (\frac{2 x}{x ^{2} + 5})

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