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

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

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limit as x approaches 0+of x| 1/x |

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

1

Solution steps

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

\frac{1}{x}

is positive when

x \to 0 +

. Therefore

\frac{1}{x} = \frac{1}{x}

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

x \frac{1}{x} = 1

= x \to 0 + lim (1)

x \to a lim c = c

= 1

x \to 0 lim (\frac{sin ( \frac{3}{8} ) x}{x})

x \to \infty lim (\frac{5 x + 7}{6 x ^{2} + 3 x - 2})

k \to \infty lim ((1 - \frac{1}{2 k})^{k})

x \to \infty lim (x^{3} + 4)

x \to 0 lim (\frac{x + 6}{x ^{2}})

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