series expansion: ln(1+x)=1-x^2/2+x^3/3-x^4/4+x^5/5+..........................∞(adsbygoogle = window.adsbygoogle || []).push({});

ln(1+1)=1-1/2+1/3-1/4+1/5..........∞

ln(2)=(1+1/3+1/5+1/7.......)-(1/2+1/4+1/6+1/8........)

ln(2)=(1+1/3+........)-2(1/2+1/4+1/6+1/8...)+(1/2+1/4+1/6+1/8...)

ln(2)=(1+1/2+1/3+1/4+1/5+1/6....)-2(1/2+1/4+1/6...)

ln(2)=(1+1/2+1/3+1/4...)-(1+1/2+1/3+1/4.....)

ln(2)=0

2=e^0

2=1

how?

what is wrong?

please help......

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# Mathematical falacy. ln(1+x) series exapansion:proving 2=1

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