Question

Besides integration, how can one use partial fractions?

Answer 1

To simplify summations. e.g.\[\sum_{1}^{n} { \frac{ 1 }{ n(n+3)}}\]
try doing without partial fractions.

Answer 2

Hmm... I get you.

Answer 3

in Laplace Tronsforms....

Answer 4

\[\rm {1 \over n(n + 3) } = {A \over n} + {B \over n + 3}\]\[\rm 1 =A(n + 3) + B(n) \]\[\rm -3B = 1 \Rightarrow B = {-1 \over 3}\]\[\rm 3A = 1\Rightarrow A = {1 \over 3}\]

Answer 5

Was that right?

Answer 6

Yup! :)

Answer 7

Thank you very much!