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Questions on dealing with series data and constructing power series expansions of functions.

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Changing bounds of summation after differentiating symbolic sums

Suppose, I have a function written as Taylor-Maclaurin series f = Sum[c[n]*x^n, {n, 0, Infinity}] Now, I wish to differentiate this expression with respect to x symbolically D[f, x] (* ---> Sum[n* …
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