42. If x>3000, then the value of x/2x + 1 is closest to

A. 1/6
B. 1/3
C. 10/21
D. 1/2
E. 3/2


My thinking was that the number 3000 didn't matter. So I made the 3000=3, and x=4.

4 4
___ _____
=
2(4) +1 9


4/9 is slightly less than half. I looked over the answer choices and thought that 10/21 (also slightly less than half) would be the closest. However, the correct answer is 1/2.

Where did I go wrong on this one?

Please advise.

Thank,