Page:Philosophical Transactions - Volume 145.djvu/182

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mr. w.h.l. russell on the theory of definite integrals.

The following are instances of the application of this method obtained by using series I., III., IV.:—

Again, we know that

from which we may deduce the following:

Now consider the series

where () is greater than . Then by the above formula

and we find for the sum of the series,

In like manner we can find the sum of the series

where is greater than , than .