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Determine the Taylor series for the function f(x)=sin(x)cos(x) centered at x=π.f(x) = \sin(x)\cos(x) \text{ centered at } x = \pi.f(x)=sin(x)cos(x) centered at x=π.
At a=0 a = 0a=0, what is the Taylor series expansion of
ln(1+x)? \ln ( 1 + x ) ? ln(1+x)?
1(1−x)2? \frac{1}{(1-x)^2} ? (1−x)21?
Given the Maclaurin series expansion of exp(x2)\exp(x^2)exp(x2) as a0+a1x1+a2x2+⋯ ,a_0 + a_1 x^1 + a_2 x^2 + \cdots ,a0+a1x1+a2x2+⋯, what is the value of a0+a1+a2a_0 + a_1 + a_2 a0+a1+a2?
Determine the first three non-zero terms of the Taylor series for f(x)=tan(x) centered at x=π4.f(x) = \tan(x) \text{ centered at } x = \frac{\pi}{4}.f(x)=tan(x) centered at x=4π.
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