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#1 2005-09-16 19:15:04
- Núria
- Guest
limit of a logarithm
I would like to know, if the limit of a logarithmic funcation, lim(log(x)), when x --> infinity, is log(lim(x)) when x--> infinty, due to the logarithmic function behavior.
Thanks!
Núria
#2 2005-09-16 23:59:21
- núria
- Guest
Re: limit of a logarithm
Núria wrote:
I would like to know, if the limit of a logarithmic funcation, lim(log(ax/bx+c)), when x --> infinity, is log(lim(ax/bx+c)) when x--> infinty, due to the logarithmic function behavior.
Thanks!
Núria
#3 2005-09-17 03:56:10
- Flowers4Carlos
- Full Member
Offline
Re: limit of a logarithm
hi there Nuu.... uu... ria!!!
just for reference reasons, here is the graph of logx :
as we can see, logx will go to ∞ when x gets larger and larger. but ∞ is not a number and consequently we cannot evaluate log(∞). however, if we know what happens to x as it approaches ∞, we can easily compute the limit of logt. here is how:
lim(x->∞ ) logx
as x -> ∞, we know t = x -> (∞) = ∞
lim(t->∞ )logt = ∞
hope this helps!!!