Exercise Solution 2.3

Exercise Solution 2.3

We construct the Taylor series as

[s1]

we have

[s2]

[s3]

[s4]

[s5]

More generally

[s6]

Valuing [s2] through [s6] at x[0] = 0 and substituting the results into [s1], we obtain the Taylor series

[s7]

 
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