I can't remember much from my intro. analysis class anymore.(adsbygoogle = window.adsbygoogle || []).push({});

If you have an infinite series that ultimately converges, can the first few terms diverge (i.e., can they move away from the convergence point)? And if so, how many of these terms can do so?

I'm trying to understand how to "get a feel" for a divergent series. If the first 5000 terms increase, I still can't assume that the rest of the terms will also increase... right?

**Physics Forums | Science Articles, Homework Help, Discussion**

Dismiss Notice

Join Physics Forums Today!

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

# Divergent infinite series

**Physics Forums | Science Articles, Homework Help, Discussion**