What is the limit as x approaches 0 of (1/x)^{ln(x)} ?

The limit as x approaches 0 of (1/x)^{ln(x)} is Does not exist

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limit as x approaches 0 of (1/x)^{ln(x)}

x \to 0 lim ((\frac{1}{x})^{l n (x)})

Does not exist

Solution steps

x \to 0 lim ((\frac{1}{x})^{l n (x)})

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

then the limit does not exist

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

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

Does not exist

= Does not exist

x \to - 1 lim (- x^{2} + 5 x - 1)

\int \frac{1}{( x ^{2} + 100 ) ^{\frac{3}{2}}} d x

\frac{( s + 3 )}{s ^{2} + 6 s + 13}

\int \frac{13 x ^{3}}{9 + x ^{2}} d x

\int (3 x^{4} + 5 x - 6) d x

What is the limit as x approaches 0 of (1/x)^{ln(x)} ?
The limit as x approaches 0 of (1/x)^{ln(x)} is Does not exist