Problem: What is the smallest positive integer n such that n​−n−1​<.01?
Answer Choices:
A. 2499
B. 2500
C. 2501
D. 10000
E. There is no such integer
Solution:
n​−n−1​<1001​;
​n​+n−1​=n​−n−1​1​>1002500​+2499​<1002501​+2500​>100n=2501.​