What is the interval of convergence of #sum_1^oo sin(nx)/n #?
1 Answer
Explanation:
We can think of this as if it were an alternating series , because the numerator,
The alternating series test states that we need to prove that:
Therefore, the sequence is convergent.
To determine whether it has absolute or conditional convergence, test the convergence of:
We know this is divergent by the harmonic series.
Therefore,