What is the limit as x approaches-4 of x/(x+4) ?

The limit as x approaches-4 of x/(x+4) is diverges

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limit as x approaches-4 of x/(x+4)

x \to - 4 lim (\frac{x}{x + 4})

diverges

Solution steps

x \to - 4 lim (\frac{x}{x + 4})

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

then the limit does not exist

x \to - 4 + lim (\frac{x}{x + 4}) = - \infty

x \to - 4 - lim (\frac{x}{x + 4}) = \infty

= diverges

x \to 3 - lim (- x^{2} + \frac{5}{2} x + 3)

\frac{d}{d x} (5 x^{4} sin^{3} (2 x))

\frac{d}{d x} (\frac{5 x ^{6} + 4 x ^{5} + 3 x ^{4}}{6 x ^{2}})

\frac{x ^{2} - 2 e ^{x}}{x + 3 e ^{x}}

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

What is the limit as x approaches-4 of x/(x+4) ?
The limit as x approaches-4 of x/(x+4) is diverges