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Need help with python pi approximation function in 3.7 python: This function accepts no input and returns approximate value of pi. Round the number 10

Need help with python pi approximation function in 3.7 python: This function accepts no input and returns approximate value of pi. Round the number 10 spaces past decimal point. The number is calculated as: pi = 4*(((-1.0)**n)/((2.0 * n) + 1.0)). The program will expand the series until the absolute value of the next term in the series is less than 10^-7; that term will not be included in the sum.

I need the same thing done for sine using the equation: sin approximation = (x**(2*n+1)*((-1)**n))/(math.factorial(2*n+1)) with the same parameter of sin approximation > 10^-7

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