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

The limit as 1/((1/x)) approaches (1/x) of 1/((1/x)) is 1/x

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

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

\frac{1}{x}

Solution steps

\frac{1}{\frac{1}{\frac{1}{\frac{1}{x}}}} \to \frac{1}{\frac{1}{\frac{1}{x}}} lim \frac{1}{\frac{1}{\frac{1}{\frac{1}{x}}}}

Plug in the value

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

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

Simplify

= \frac{1}{x}

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

x \to 0 + lim (x ln (ln (x)))

x \to 3 lim (x^{2} - 2 x - 3)

x \to - 3 + lim (\frac{1}{( x + 3 ) ^{2}})

x \to 0 lim (\frac{1}{2} e^{x})

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