SOLUTION: (1+1/2)(1+1/4)(1+1/16)(1+1/256).........

Question 1081650: (1+1/2)(1+1/4)(1+1/16)(1+1/256).........
Answer by ikleyn(52788) (Show Source): You can put this solution on YOUR website!
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(1+1/2)(1+1/4)(1+1/16)(1+1/256).........
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Let P = .

Multiply both sides by   (which is , of course).

Use

 = ,

 = ,

 = ,

and so on INFINITELY MANY times . . . 


You will get  = 1,   which implies  P = 2.


Answer.  P = 2.

Solved.

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