How is the way the decimals point moves when you divide a decimal number by a power of ten the same as when you multiply? how is
1 answer:
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a. Recall that
For , we have
By integrating both sides, we get
If , then
so that
We can shift the index to simplify the sum slightly.
b. The power series for can be obtained simply by multiplying both sides of the series above by .
c. We have
