Let p and n be real. Now show that
using the identity:
I have been trying at this one for hours, it is driving me nuts. Can someone point me in the right direction ?
This only works for .
Notice that
.
Now notice that each term in this series is represented by
,
and that there are a total of terms therein. Notice also that for each term, we have
,
which means that for the entire series we have
.
Substituting, we have
.
Then we divide by :
.
Yeah, sorry for that, I was mistranslating the word "real" .
Also there was a typo (i am pretty new at this latex stuff) it was not supposed to be "less-than-or-equal" but "less-than". It is fixed above.
so this one is supposed to be:Notice also that for each term, we have
wich does not hold for i=0.
Sorry for that.