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Convergence arctan taylor searies
Posted:
Feb 20, 2013 7:04 PM


Hey folks,
I was looking at the taylor series that is commonly used to compute arctangent, which is
atan(x) = x  x^3/3 + x^5/5  x^7/7 + x^9/9....
However, the domain for arctangent is +/ infinity. So, for x values that are a bit larger than 1 (or smaller than 1), I don't see how this series converges to anything. For instance, if I did atan(2), then (2)^n will grow a lot faster than n itself, so each term will be larger than the last.
Or am I missing something here?
Thanks.
Dave



