 Abel summation is similar to Euler's attempted definition of sums of divergent series, but it avoids Callet's and N. Bernoulli's objections by precisely constructing the function to use.In fact, Euler likely meant to limit his definition to power series, and in practice he used it almost exclusively in a form now known as Abel's method.Given a series "a"0 + "a"1 + "a"2 + · · ·, one forms a new series "a"0 + "a"1"x" + "a"2"x"2 + · · ·.