MacLaurin Series from sin(x) to cos(x) using derivative
I understand how to find the MacLaurin series for $ sin(x)$ . $ $ \sum_{n=1}^\infty \frac{\mathrm{x}^{2n-1}\cdot\!\mathrm{(-1)}^{n-1}}{(2n-1)!}$ $ Now I am trying to find the MacLaurin series for...
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Writing maclaurin series as a power series
write the Maclaurin series for f(x)=5cos(9x^2) as a power series. Find the coefficients of c0,c2,c4,c6 and c8. So I rewrite the the series as (5(-1)^2(9^2n)*x^4n)/2n!. Why is the coefficient of c2=0?,...
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