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is represented as a power series

[tex] f(x) = \sum_{n=0}^{\infty} C_nX^n[/tex]

Find the first few coefficients in the power series:

C_0 = ____

C_1 = ____

C_2 = ____

C_3 = ____

C_4 = ____

well [tex]f(x) = \frac{10}{1+100*x^2}[/tex] can be written as [tex]10\sum_{n=0}^{\infty} (-100x^2)^n[/tex]

for C_0, i got 10 because if you plug in n = 0, you get 10 (which is correct).

for c_1, when i plug in n=1, i get -1000, which is incorrect.

i tried doing the same for c_2-c_4, but it keeps telling me i get the wrong answer. does anyone know why?