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

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

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

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

diverges

Solution steps

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

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

then the limit does not exist

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

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

= diverges

\int 3 y^{3} e^{x y} d x

\int x^{2} e^{2 x + 1} d x

f (x) = - 3 x^{2} - 5, at x = 0

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

\int \frac{tan ( θ )}{sec ^{2} ( θ )} d θ

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