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 Exercise [04.04] b 
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Joined: 11 May 2008, 20:07
Posts: 11
Location: france
Post Exercise [04.04] b
Here is another solution for this exercise.
We start from the equality :

1+x^2+x^4+...=\frac{1}{1-x^2}

then multiplying on both sides :

(1-x^2)(1+x^2+x^4+...)=1

and proceeding the multiplication :

(1+x^2+x^4+...)-(x^2+x^4+x^6+...)=1.

As the series is endless all the unneeded parts are just gone, and there remains the truthful equation :

1=1


12 May 2008, 21:25
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