What is the limit as x approaches 0 of (x+2)/x ?

The limit as x approaches 0 of (x+2)/x is diverges

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limit as x approaches 0 of (x+2)/x

x \to 0 lim (\frac{x + 2}{x})

diverges

Solution steps

x \to 0 lim (\frac{x + 2}{x})

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

then the limit does not exist

x \to 0 + lim (\frac{x + 2}{x}) = \infty

x \to 0 - lim (\frac{x + 2}{x}) = - \infty

= diverges

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

\frac{d}{d x} (\frac{5}{x + 10})

f (x) = e^{9 x}

\frac{d}{d x} (e^{- x} \cdot cos (x))

\frac{1}{s ^{2} + s + 2}

What is the limit as x approaches 0 of (x+2)/x ?
The limit as x approaches 0 of (x+2)/x is diverges