One equal to one half
Theorem： 1 = 1/2：
Proof：
We can re-write the infinite series 1/（1*3） + 1/（3*5） + 1/（5*7） + 1/（7*9）
+……
as 1/2（（1/1 - 1/3） + （1/3 - 1/5） + （1/5 - 1/7） + （1/7 - 1/9） + …… ）。
All terms after 1/1 cancel， so that the sum is 1/2.
We can also re-write the series as （1/1 - 2/3） + （2/3 - 3/5） + （3/5 - 4/7）
+ （4/7 - 5/9） + ……
All terms after 1/1 cancel， so that the sum is 1.
Thus 1/2 = 1.
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