Let be continuous. We all know that Now let What do you think the value of is?
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Is it Zero
Originally Posted by pankaj Is it Zero that's the natural candidate and it's absolutely correct. so now we need a proof!
Can you direct me to a proof of the limit that everyone knows except for me?
If a=0 and b=1,we get It is then that we have = What NCA has asked is =
Last edited by pankaj; June 11th 2009 at 06:27 PM.
I do not believe that I have done it right.
Originally Posted by NonCommAlg Let be continuous. We all know that Now let What do you think the value of is? Write . Then hence and similarily so that but both sides go to 0 as since is continous!
Last edited by Bruno J.; June 20th 2009 at 06:38 PM.
Originally Posted by Bruno J. Write . Then n here should be 2n. hence and similarily so that but both sides go to 0 as since is continous! even will not necessarily imply that because we don't know that exists.
Thanks for the heads up! I was in a hurry when I wrote that (excuses excuses ). Indeed does not imply the result, but a slight modification of the argument should show that , ex. by writing
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