sinx≈x−x36+x5120 Eq. 4.11 cos x ∑n=0∞(−1)nx2n(2n)! cosx≈1−x22+x424 Eq. 4.12 tan x ∑n=0∞B2n(−4)n(1−4n)(2n)!x2n−1 tanx≈x+x33+1215x5 |x|≤π1 Eq. 4.13 arcsin x ∑n=0∞(2n)!22n(n!)2(2n+1)x2n+1 arcsinx≈x+x26+340x5 |x|≤ 1 Eq...
Find the first 4 non-zero terms of the Taylor series expansion of {eq}\displaystyle f(x) = e^x \sin x, \ c=0 {/eq}. (Derive from the Taylor series of {eq}\displaystyle e^x {/eq} and {eq}\displaystyle \sin x {...