(adsbygoogle = window.adsbygoogle || []).push({}); 1. The problem statement, all variables and given/known data

a) Determine the series of the given function. In the first box after the summation symbol, type in -1 or 1 indicating whether the series is alternating or not.

b) Write out the sum of the first four nonzero terms of the series representing this function.

c) Determine the interval of convergence. The outside boxes require the endpoints and the inside boxes require the symbol < or <=.

For:

g(x)=arctan(x/sqrt(6))

2. Relevant equations

3. The attempt at a solution

I already got a.) which is sum from n=0 to infinity [ (-1)^n *(x/sqrt(6))^(2n+1) ] / (2n+1)

I think I got b.) not too sure if this one is right but i got (x/sqrt(6))-(x^3/(3*6^(3/2)))+(x^5/(5*6^(5/2)))-(x^7/(7*6^(7/2))).

And so I just need someone to check b for me and I dont even know what to do for the interval of convergence.

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# Power Series Problem!

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