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.
Christopher Paolini is the author of three other bestselling novels about AlagaÃ«sia: Inheritance is the fourth and final volume in the cycle. Christopher lives in Montana, where the natural landscape has been a major inspiration in the creation of his stories.