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

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

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

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

diverges

Solution steps

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

x \to a - lim f (x) \neq = x \to a + lim f (x)

then the limit does not exist

x \to - 5 + lim (\frac{x ^{2} - 2}{x + 5}) = \infty

x \to - 5 - lim (\frac{x ^{2} - 2}{x + 5}) = - \infty

= diverges

\int \frac{1}{( x + 1 ) ( x ^{2} + 4 )} d x

- 6 y^{^{''}} + 54 y^{^{'}} = 0, y (2) = 1, y^{^{'}} (- 1) = 1

\int_{1}^{2} 2 x (1 - \frac{1}{x ^{2}}) d x

f (x) = (3 t - 1)^{4} (2 t + 1)^{- 3}

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