Find the values of x for which the series converges. Find the sum of the series for those values of x . ∑n=0^∞ ((x 3)^n)/(2^n) | Numerade

Find all values of x such that the following series converges:F... | Filo

Let fn (x) = ( sinnx )/n^2. Show that the series ∑fn(x) converges for all values of x but the series of derivatives ∑f'n (x) diverges when x = 2n π, n an integer. For what values of x does the series ∑f”n (x) converge? | Numerade