Using the Arctangent formula
pi = 16 * arctan (1 / 5) - 4*arctan(1 / 239) to calculate the value of pi to 53 significant digits.
The power series of arctangent(x) is = x − x^3/3 + x^5/5 − x^7/7 + x^9/9...
The Attempt at a Solution
I attempted this question on MAPLE 13(shown above), but I get an obvious incorrect answer 3.17... instead of 3.14...
Am i using the formula correctly? I've double checked the values and don't think I missed an exponent or inserted the wrong sign.
-Thanks in advance.