# Difference between revisions of "Generality of algebra"

An example[2] is Euler's derivation of the series Template:NumBlk for ${\displaystyle 0. He first evaluated the identity Template:NumBlk at ${\displaystyle r=1}$ to obtain Template:NumBlk The infinite series on the right hand side of (Template:EquationNote) diverges for all real ${\displaystyle x}$. But nevertheless integrating this term-by-term gives (Template:EquationNote), an identity which is known to be true by modern methods.