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

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

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limit as x approaches 0 of x+(1/x)

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

diverges

Solution steps

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

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

= diverges

x \to 9 lim (\frac{1}{x - 3})

x \to 0 lim (sin (x) csc (6 x))

x \to 1 - lim (2 e^{x - 1})

x \to - 3 lim (- 4 x)

x \to 1 lim (x + 15)

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