Given the function f(x) =x' e7 , find ƒ(®(0) . (Hint: Write the Taylor series of the given function.) a) 0960 4 b) 1 c) 48 d) O15 e) O120 f) 00 g) ONone of the above.

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A: Maclaurin polynomial of degree 4 is P4x=f0+f'0x+f''02!x2+f'''03!x3+f404!x4.

Q: Interpret the graphics (find xg. the different Taylor expansions, .): 1. f(x) = sin(x) 10 -5- -5 10…

A: See answer below.

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A: Taylor series of function f(x) around x=a is defined as:

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Q: Pu Find the Fourier Series to represent the function

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Q: State whether y =tan x can be expressed as a Fourier series. If so how?. If not why?

A: State whether y =tan x can be expressed as a Fourier series. If so how?. If not why?

Q: 4) Rewrite as a power series in the form E an x" n-0 x? f(x) = 4 + x

A: The given f(x) is the sum of power series f(x)=x74+x2 Rewrite it in the form of  f(x)=a1-r…

Q: 25- A) Use series to express the function f(x) = coshx.

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Q: 25] Find Maclaurin's series f(x) = e√²x

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