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In the previous two sections we discussed how to find

 representations for certain types of functions––specifically, functions related to

. Here we discuss

 representations for other types of functions. In particular, we address the following questions: Which functions can be represented by

 and how do we find such representations? If we can find a

 representation for a particular

 f and the series converges on some interval, how do we prove that the series actually converges to f?