- #1
PFuser1232
- 479
- 20
Suppose we wish to represent ##f(x)## as a power series:
$$f(x) = \sum_{k=0}^{∞} a_k x^k = a_0 x^0 + a_1 x + a_2 x^2 + ...$$
How is it that ##f(0) = a_0## if ##x^0 = 1## only for nonzero ##x##?
$$f(x) = \sum_{k=0}^{∞} a_k x^k = a_0 x^0 + a_1 x + a_2 x^2 + ...$$
How is it that ##f(0) = a_0## if ##x^0 = 1## only for nonzero ##x##?