What is the limit as x approaches 0 of e^x-1/x ?

The limit as x approaches 0 of e^x-1/x is diverges

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limit as x approaches 0 of e^x-1/x

x \to 0 lim (e^{x} - \frac{1}{x})

diverges

Solution steps

x \to 0 lim (e^{x} - \frac{1}{x})

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

then the limit does not exist

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

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

= diverges

\int_{0}^{5} e^{- 2 x} d x

f (x) = \frac{2}{x - 3}

(x^{2} - 3 y^{2}) d x + 2 x y d y = 0

x \to π lim (sin (\frac{11}{6} x))

\int sin^{5} (7 x) d x

What is the limit as x approaches 0 of e^x-1/x ?
The limit as x approaches 0 of e^x-1/x is diverges