Thread: Problem 41
View Single Post
  #6  
Old November 20th, 2007, 01:22 PM
math sucks math sucks is offline
Junior Member
  
Join Date: Nov 2007
Posts: 33
Country:
Thanks: 2
Thanked 3 Times in 3 Posts
math sucks is on a distinguished road
Default
Quote:
Originally Posted by topsquark View Post
The notation "f(x)" does not imply that it is f times x, as you appear to be using.

-Dan
? I don't understand. How did you think that?
Maybe this will clarify,
f(1)=f\underbrace{\left(\frac{1}{n}+\ldots+\frac{1}{n}\right)}_{n \textnormal{\small{ times}}}=\underbrace{f\left(\frac{1}{n}\right)\ldots f\left(\frac{1}{n}\right)}_{n\textnormal{\small{ times}}}=f\left(\frac{1}{n}\right)^n
The second equality is straight from the problem.
The following users thank math sucks for this useful post:
Donate to MHF