Estimate the value of the limit.
- Thread starter hello32
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D
Deleted member 4993
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Check the definition of ex as a limit.
I don't understand what you mean. Could you provide a reference? As I can't find anything on the internet nor in my textbook.
D
Deleted member 4993
Guest
How did you search for it? What key words did you use?
D
Deleted member 4993
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With that as the search for Google - I got 211,000,000 hits. The first one is from Wiki - and it gives the definition we are looking for.
How come you claim to get no reference!!
Well first of all I have Wiki as a disavowed link so wiki actually wont show up up on google and the other site I was looked at were referring to limits in the sense that e was present in the equation.
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D
Deleted member 4993
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Well first of all I have Wiki as a disavowed link so wiki actually wont show up up on google and the other site I was looked at were referring to limits in the sense that e was present in the equation.
Likeso yea... but, now knowing that it is on wiki.
You could also go to Wolfram Mathworld (7 th reference out of 244,000,000) - which would have given you the same definition. Come to think about - the other 4 top references excluding Wiki - give the same definition.
There is nothing wrong with using Wiki as a source - just don't use it as "only" source!!!
Bob Brown MSEE
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D
Deleted member 4993
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So essentially....
Is there a fairly simple to derive this? or would you suggest something like that is beyond calc 110? in other words memorize this and the other similar characterizations?
But as Bob pointed out, your problem is a little more tricky!
\(\displaystyle \displaystyle{\lim_{x\to 0} (x-1)^{\dfrac{1}{x}}}\) is your problem
not
\(\displaystyle (1+x)^{\dfrac{1}{x}}\)