Question

Use
the definition of a Taylor Series to find the taylor series for
f(x) = e^(-x/2) centered at 0

Answer #1

Use the definition of Taylor series to find the Taylor series
(centered at c) for the function.
f (x) = e3x, c = 0

Use the definition of a Taylor series to find the first four
nonzero terms of the series for f(x) centered at
the given value of a. (Enter your answers as a
comma-separated list.)
f(x) = 4/(1+x), a = 2
Use the definition of a Taylor series to find the first four
nonzero terms of the series for f(x) centered at
the given value of a. (Enter your answers as a
comma-separated list.)
f(x) = 3xe^x, a = 0

1- Use the definition of a Taylor series to find the first
four nonzero terms of the series for f(x) centered at the given
value of a. (Enter your answers as a comma-separated list.)
f(x) = 5 cos2(x), a = 0
2-
Use the definition of a Taylor series to find the first four
nonzero terms of the series for f(x)
centered at the given value of a.
(Enter your answers as a comma-separated list.)
f(x) = 9xex, ...

Use the definition of Taylor series to find the first five terms
of f(x)=lnx centered at a=2. simplify all coefficients

Find the Taylor series for the function using the definition of
Taylor series.
f(x) = cos2x , a = pi

Find the Taylor series for f(x) centered at the given value of
a. [Assume that f has a power series expansion. Do not show that
Rn(x) → 0.] f(x) = e^x, a = ln(2)

Find the Taylor series for f(x) = e^3+2x centered at x = −1.

Find the Taylor series for f(x) and it's radius of
convergence when f(x) = e^3x and is centered at c = 2. Also find the
interval of convergence.

The hyperbolic cosine function, cosh x = (1/2) (e^x + e^-x).
Find the Taylor series representation for cosh x centered at x=0 by
using the well known Taylor series expansion of e^x. What is the
radius of convergence of the Taylor Expansion?

definition of a Taylor series to find the first 4 nonzero terms
of the power series for f(x) centered at the given value of a.
f(x)=3cuberoot(x^4) , a = 8

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