Calculus Examples

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

Step 1

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

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

Step 2

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

$Does not exist$