What is the limit as x approaches 0 of 1/x+1 ?

The limit as x approaches 0 of 1/x+1 is diverges

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limit as x approaches 0 of 1/x+1

x \to 0 lim (\frac{1}{x} + 1)

diverges

Solution steps

x \to 0 lim (\frac{1}{x} + 1)

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

then the limit does not exist

x \to 0 + lim (\frac{1}{x} + 1) = \infty

x \to 0 - lim (\frac{1}{x} + 1) = - \infty

= diverges

\int \frac{x}{1 - x ^{8}} d x

f (x) = cos (x^{2}) 2 x

\int 8 x^{- 1} d x

\int \frac{1}{x ^{2} + 8} d x

f (x) = - 2 x^{3}

What is the limit as x approaches 0 of 1/x+1 ?
The limit as x approaches 0 of 1/x+1 is diverges