Hi, in your proof above, where do we use the fact that "log is continuous at 1"? For derivative definition at the end, or, for interchanging log and limit?
And one more question if you don't mind.
" Given f(n) a monotonically increasing sequence going to infinity as n goes to infinity...
Hello, I have a question involving a sequence of numbers \{a_n\} defined recursively. They are defined as the positive solutions of the following set of equations.
1 = \frac{1}{a_1} = \frac{1}{(a_2+a_1)} + \frac{1}{{a_2}} =
\frac{1}{(a_3 + a_2 +a_1)} + \frac{1}{(a_3 + a_2)}
+ \frac{1}{{a_3}}...