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

The limit as x approaches-1 of (x^3+x)/(1+x) is diverges

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

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

diverges

Solution steps

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

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

then the limit does not exist

x \to - 1 + lim (\frac{x ^{3} + x}{1 + x}) = - \infty

x \to - 1 - lim (\frac{x ^{3} + x}{1 + x}) = \infty

= diverges

\frac{\partial}{\partial x} (x \cdot y \cdot cos (3 x) + e^{x y})

x \to 0 lim (\frac{x - 12}{x - 4})

\int e^{3} x d x

\int 2 x e^{- x} d x

3 (x + 1), 4 (x + 1), x = 7

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