What is the limit as x approaches-5 of (x^2-4)/(5-x) ?

The limit as x approaches-5 of (x^2-4)/(5-x) is 21/10

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limit as x approaches-5 of (x^2-4)/(5-x)

x \to - 5 lim (\frac{x ^{2} - 4}{5 - x})

\frac{21}{10}

Decimal Notation

2.1

Solution steps

x \to - 5 lim (\frac{x ^{2} - 4}{5 - x})

Plug in the value

x = - 5

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

Simplify

\frac{( - 5 ) ^{2} - 4}{5 - ( - 5 )} : \frac{21}{10}

= \frac{21}{10}

\int \frac{x ^{2}}{( x ^{2} - 36 ) ^{\frac{5}{2}}} d x

\int \frac{tan ^{3} ( \frac{6}{z} )}{z ^{2}} d z

\int 3 + x (x + 1)^{2} d x

y^{^{''}} + 2 y^{^{'}} - 3 y = t (e^{- 3 t} + e^{2 t})

e^{\frac{- y ^{2}}{2}}

What is the limit as x approaches-5 of (x^2-4)/(5-x) ?
The limit as x approaches-5 of (x^2-4)/(5-x) is 21/10