Consider the function f(x)=ln(x)/√x

1. Find the limit of f as x → 0 from the positive side.
2. Find f(-1). Hint: f(-1)>0

Nice problem, especially the second part. I've always liked working with the transcendental functions.

e^iπ = cos π + isin π = = -1 ;

Hence, ln(-1) = ln(e^iπ) = iπ ;

Thus, f(-1) = ln(-1)/ SQRT(-1) = πi/ i = π

Posted by mathemagician on 2003-07-04 13:32:00