Make use of the theory that we have developed so far to explain what is wrong wi

Question

Make use of the theory that we have developed so far to explain what is wrong with the following demonstration:
Let the Fourier cosine series of the function cosh x on the interval 0 < x < p be
coshx = A0 + S (8, n=1) Ancos(nx) ; (1)

If you differentiate Eq. (1) term-by-term, you obtain
sinhx = - S(8, n=1)nAn sin (nx) ; (2)
and if you differentiate again, you will have
cosh x = - S(8, n=1) n2 An cos (nx) ; (3)
Upon comparaison of equations (1) and (3), you will have to conclude that
A0 = 0, An = 0, n=1 ?? Make use of the theory that we have developed so far to explain what is wrong with the following demonstration:
Let the Fourier cosine series of the function cosh x on the interval 0 < x < p be
coshx = A0 + S (8, n=1) Ancos(nx) ; (1)

If you differentiate Eq. (1) term-by-term, you obtain
sinhx = - S(8, n=1)nAn sin (nx) ; (2)
and if you differentiate again, you will have
cosh x = - S(8, n=1) n2 An cos (nx) ; (3)
Upon comparaison of equations (1) and (3), you will have to conclude that
A0 = 0, An = 0, n=1 ??

Explanation / Answer

#include #include int sum(int,int); void product(int a,int b) { cout

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