Calculus Examples

$lim_{x \to 2} \sqrt{\sqrt{x + 2} - x}$

Step 1

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

$lim_{x \to 2^{+}} \sqrt{\sqrt{x + 2} - x}$

Step 2

Because there are no values to the right of $2$ in the domain of $\sqrt{\sqrt{x + 2} - x}$ , the limit does not exist.

$Does not exist$