Worksheet: Representing Rational Functions Using Power Series
In this worksheet, we will practice using the formula of the infinite sum of geometric series to find a power series representation for some rational functions.
Q3:
Consider .
Find a power series representation for .
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Find its interval of convergence.
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Q6:
Consider the function .
Find the power series for .
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Identify its interval of convergence.
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Q7:
Consider the function with the center .
Find the power series for .
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Q8:
Consider the function with the center .
Find the power series for .
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Q9:
Consider the function with the center .
Find the power series for .
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Q12:
Find a power series representation for .
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Q13:
Determine the interval of convergence for the power series of the function .
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Q14:
Find a power series representation for , centered at .
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Q15:
Write the first four terms of the power series of the function .
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