Re: Sorry to disappoint
Your teacher should have explained (and proved) that 2 is the smallest number greater than each of the partial sums:
1, 1 + 1/2, 1 + 1/2 + 1/4, 1 + 1/2 + 1/4 + 1/8, ... etc.
As such, it is considered that the limit of the infinite sum is 2.
The statement that "It never actually gets to 2, but it is EXACTly 2 " is contradictory and therefore confusing.
Biting the hand that feeds IT
