Let and let satisfy . Prove that I am given the following hint: Show that is decreasing for , and evaluate at and
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Originally Posted by Kipster1203 Let and let satisfy . Prove that I am given the following hint: Show that is decreasing for , and evaluate at and It suffices to prove this for a fixed but arbitrary . But, the LHS is clearly where . Thus, by the mean value we have that the LHS equals for some . But, clearly then . The conclusion follows.
Originally Posted by Kipster1203 Let and let satisfy . Prove that I am given the following hint: Show that is decreasing for , and evaluate at and Show that and then and you're done (caution : beware of negative powers!) Tonio
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