A student has a daily reading productivity level of 1 chapter while in the computer lab, 5 chapters while at the coffee shop, an
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Answer:
Given the function:
A geometric series is of the form of :
Now, rewrite the given function in the form of so that we can express the representation as a geometric series.
Now, divide numerator and denominator by we get;
=
Therefore, we now depend on the geometric series which is;
let then,
to get the power series let
so,
Multiply both side by we get;
or
or
Using
we have,
therefore, the power series representation centered at x =0 for the given function is: