Thomas Z.

# Find the Maclaurin series

Find  in the Maclaurin series ∑ n=0 ∞ an for ƒ(x) = 2x6 cos (x9) and find the interval on which the expansion is valid.

Stanton D.

Hi Thomas Z., There's a disconnect in how you stated your problem, you shifted from n to x without stating how. But it looks as if you want |x|<1 , that will quench your series. An integral expression might be nicer? (But the polynomial covers the discrete sum exactly). -- Cheers, -- Mr. d.
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11/20/20