Partial Fraction Decomposition Suppose the denominator of a rational function can be factored into distinct linear factors
for a positive integer n and distinct real numbers If N is a polynomial of degree less than n, show that
where for . Note that this is the partial fraction decomposition of .
To prove: The relation where
We can factor the denominator of a rational function into distinct linear factors.
Where are distinct linear factors.
Here, where N is a polynomial degree less than n and , which is partial fraction decomposition of .
Product Rule of Differentiation states that for functions u and v
Assume to be true.
Then take LCM
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