Practice problem
Find the smallest integer nnn such that n−n−99<1.\sqrt{n} - \sqrt{n - 99} < 1.n−n−99<1. (Hint: First solve the equation x−x−99=1\sqrt{x} - \sqrt{x - 99} = 1x−x−99=1.)
n=225n=225n=225
n=226n=226n=226
n=2500n=2500n=2500
n=2501n=2501n=2501
Type a concept, like “slope” or “photosynthesis”.