1-1+1-1+1-1+1-1+....=1/2 log(1-x)=-x-x²/2-x³/3-x⁴/4-......... for x<1 Differentiate it we get -1/(1-x)=-1-x-x²-x³-x⁴-...... for x<1 Or 1/1-x)=1+x+x²+x³+x⁴+...... now put x=-1 we get 1/2=1-1+1-1+1-1+1-1+......... It is true or not???? Reply
log(1-x)=-x-x²/2-x³/3-x⁴/4-......... for x<1
Differentiate it we get
-1/(1-x)=-1-x-x²-x³-x⁴-...... for x<1
Or
1/1-x)=1+x+x²+x³+x⁴+......
now put x=-1 we get
1/2=1-1+1-1+1-1+1-1+.........
It is true or not????