If the limit of a[n] is not zero, or does not exist, then the sum diverges. For instance, the sum. doesn't converge, since the limit as n goes to infinity of (n+1)/n is 1. Note that the implication only goes one way; if the limit is zero, you still may not get convergence. For instance, the terms of. have a limit of zero, but the sum does not converge.
FranÃ§ois Rabelais (/ËrÃ¦bÉËleÉª/; French: [fÊÉÌ.swa Êa.blÉ]; between 1483 and 1494 â 9 April 1553) was a French Renaissance writer, humanist, physician, Renaissance humanist, monk and Greek scholar. He has historically been regarded as a writer of fantasy, satire, the grotesque, bawdy jokes and songs. His best known work is Gargantua and Pantagruel.
An imprimi potest, a nihil obstat and an imprimatur (by Richard Cushing) on a book published by Random House in 1953. The book in question is the English translation by Louis J. Gallagher, S.J. of De Christiana expeditione apud Sinas by Matteo Ricci, S.J. and Nicolas Trigault, S.J.