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 \cdot \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}) = 1

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

= diverges

\int e^{- 6 x^{2}} d x

\int (\frac{ln ( x )}{x}) d x

x \to \infty lim (6 x^{4})

y = 2 x (x + 1)^{2}, (0, 0)

\int 3 x^{2} + 6 x + 5 d x

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