What is the limit as x approaches 0 of e^{xln(x)} ?

The limit as x approaches 0 of e^{xln(x)} is Does not exist

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limit as x approaches 0 of e^{xln(x)}

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

Does not exist

Solution steps

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

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

Does not exist

= Does not exist

\int \frac{1}{x ^{4} x ^{2} - 5} d x

\frac{\partial}{\partial x} (cos (x + y + z))

k = 1 \sum \infty \frac{2}{3} (1.5)^{k - 1}

f (x) = cos (3 x^{2})

\frac{x}{x + 7}

What is the limit as x approaches 0 of e^{xln(x)} ?
The limit as x approaches 0 of e^{xln(x)} is Does not exist