I just need one example #8 Transcribed Image Text: f(x)= cos(2x)

I just need one example #8 Transcribed Image Text: f(x)= cos(2x)
a= Tt
f(x)= e*
a = In 2
1
f(x) =
a = 1
f(x)= Inx
a = 3
%3D
8. Find the power series representation for a function with a center at 0 or at a, by either combining,
differentiating or integrating a given function and Taylor Polynomial.
1
f(x)%D
4×12
f(x)=
1
f(x)%3D
(1–x)’
f (x) = In(1– 3x)
or
or
%3D
or
1+3x
f (x)%=
3+x
or
%3D
9. Find the first 5 nonzero terms of the Taylor series centered at 0 for a given function, using the Binomial
series formula for
to generate the coefficients. Then use these terms to approximate a value.
f(x) =(1+x)*
1
approximate
(1.1)

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