Question

7 Represent the function - as a power series f(x) = { 1 – 40 Chan n=0 Compute the first few coefficients of this power series
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Answer #1

We have, 1415 2 I-4x nzo uzo 7 ity I (1) Y uzo til Replace Y by -40 in (1), we get (-1 (+4x); 4x, 1981) - f(x)= į 7.4x,Also the series converges for 140k1 je pod < $ radius of of convergence is The R 2 4

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