M maeveoneill Junior Member Joined Sep 24, 2005 Messages 93 Oct 8, 2007 #1 Is there a way(s) to determine whether a function is convergent or divergent simply by looking at it??
Is there a way(s) to determine whether a function is convergent or divergent simply by looking at it??
D Deleted member 4993 Guest Oct 8, 2007 #2 maeveoneill said: Is there a way(s) to determine whether a function is convergent or divergent simply by looking at it?? Click to expand... What do you exactly mean by that? Did you mean series or function? If give me a geometric series with r>1 (e.g. 2^n) - I can simply look at it and tell it is going to diverge. If by function diverging - you mean definite integral - for some functions you can do that. But almost all of those require calculating the limit (mentally at least).
maeveoneill said: Is there a way(s) to determine whether a function is convergent or divergent simply by looking at it?? Click to expand... What do you exactly mean by that? Did you mean series or function? If give me a geometric series with r>1 (e.g. 2^n) - I can simply look at it and tell it is going to diverge. If by function diverging - you mean definite integral - for some functions you can do that. But almost all of those require calculating the limit (mentally at least).
