A group of penguins swam 4/5 mile in 1/3 hour. Use the table to find how many miles the penguins swam in one hour if they swam a
2 answers:
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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