can anyone help me find the sum of this power series?
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- hey there ,I have found something: let S=1+2+3+4.... so S-1=(2+3+4+5)+(6+7+8+9)+(10+11+12+13). S-1=2(7) +2(15)+ 2(23)... S-1=2(7)+2(2(7)+1) +2(3(7)+2)... (S-1)/2 = 2(7) +3(7) +4(7)... +1+2+3+4... (S-1)/2=7(1+2+3+4...)+1+2+3+4... (S-1)/2=7S+S (S-1)=16S so S=-1/15
- Explanation on how we use polar coordinates/differential equations to prove Euler's formula, leading onto Euler's identity. Thanks