- #1
harryjobs
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series expansion: ln(1+x)=1-x^2/2+x^3/3-x^4/4+x^5/5+......∞
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...
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...