Answer to Question #8070 in Real Analysis for Mike

Question #8070

The statement "If f = o(g) then f = O(g)" can be abbreviated o⇒O. Prove this.

Expert's answer

Download Answer

Learn more about our help with Assignments: Real Analysis

Comments

No comments. Be the first!

Leave a comment

Related Questions

1. Show that K(x-a) = O(k-a) [this is the letter O no the number 0] for any K.
2. If K is a constant, show that K(x-a) = o(x-a) [yes that is a "o" not a "0"] if a
3. Task If (a sub_n) and (b sub_n) are cauchy sequences, show directly that (a sub_n + b sub_n) is also
4. Let x_sub(1) = a>0 and x_sub(n+1) = x_sub(n) + 1/x_sub(n). Show that x_sub(n) diverges
5. Show that it is possible to have a sequence (x_sub(n)) diverge while the sequence (|x_sub(n)|) conve
6. Show that it is possible for a sequence to have no convergent subsequences at all.
7. suppose S is a nonempty open set that isn't the whole real line. Show that there is a sequence