Calculus Examples

$lim_{x \to \infty} x^{\frac{1}{x}}$

Step 1

Change the two-sided limit into a right sided limit.

$lim_{x \to \infty^{+}} x^{\frac{1}{x}}$

Step 2

Because there are no values to the right of $\infty$ in the domain of $x^{\frac{1}{x}}$ , the limit does not exist.

$Does not exist$