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How is pi in series derived?
1/( 1+X * 2)= 1—X * 2+X * 4—……+(- 1)*(n— 1)xX *(2n—2)+……

Integral derivative:

arctanX = X—X * 3/3+X * 5/5-……+(- 1)*(n— 1)X[X *(2n— 1)]/[2n— 1]+……

Take x =1;

π/4 = 1— 1/3+ 1/5—……+(- 1)*(n— 1)[ 1/(2n— 1)]+……

You can get it.

Where * stands for power, x stands for symbol and x stands for the letter X.