What is the limit as x approaches-1 of (x^2+5)/(x+6) ?

The limit as x approaches-1 of (x^2+5)/(x+6) is 6/5

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limit as x approaches-1 of (x^2+5)/(x+6)

x \to - 1 lim (\frac{x ^{2} + 5}{x + 6})

\frac{6}{5}

Decimal

1.2

Solution steps

x \to - 1 lim (\frac{x ^{2} + 5}{x + 6})

Plug in the value

x = - 1

= \frac{( - 1 ) ^{2} + 5}{- 1 + 6}

Simplify

\frac{( - 1 ) ^{2} + 5}{- 1 + 6} : \frac{6}{5}

= \frac{6}{5}

d er i v a t i v e (2 x + 3)^{1.4}

d er i v a t i v e (2 x^{2} + 1) (x - 3)^{2}

\int 8 sin^{3} (x) d x

4 x y d x + (x^{2} + 1) d y = 0

in v erse l a pl a ce \frac{( s + 1 )}{s ^{2}}

What is the limit as x approaches-1 of (x^2+5)/(x+6) ?
The limit as x approaches-1 of (x^2+5)/(x+6) is 6/5