Yeah I used CSS to get the buttons to highlight and stuff. But as the button background changes color upon the mouse being over it, the text doesn't change- even though I specified it to change to white (in the CSS: navbar.css):
div.nav a:hover {
color:white;
background:#404040;
}So, I am not...
I am writing a small personal webpage (http://pubpages.unh.edu/~jmm42/JML/levesque.html# ), and am trying to write code so that when the cursor is over my navigation buttons, the buttons highlight to a gray color #404040: and the text color becomes white. I am trying to write this code in...
Homework Statement
Let x_m = 1 + \frac{1}{2} + \frac{1}{3} + ... \frac{1}{m}, m \in N.
Prove x_m is not bounded above and therefore x_m does not converge.Homework Equations
We know from our class an important theorem stating that:
If sequence converges then the sequence is bounded.
Thus we...
Homework Statement
\frac{1}{2^{k}+1} + \frac{1}{2^{k} +2} + ... + \frac{1}{2^k + 2^k} \geq \frac{1}{2}
2. The attempt at a solution
Not too sure, I am working on a larger proof (not too much difficult) and the above is my attempt to prove the induction step k+1 (since \frac{1}{2^k + 2^k} =...
Yeah that's it. Except i was just given sequence (2n^2+n)/(n^2) --> 2. And in my idea stage, I have the sequence equal to 1/(2^n - n) < 1/n.. and this is only true if n > 2.
Exactly what i was thinking, but i need it in a different form to fit my proof.
Proof:
Let e > 0 be given.
Let N = max{2, 1/n}
Note that, |1/(2^n - n) - 0| = |1/(2^n - n)| (trying to show later in the proof this is less than 1/n)
Assume n > N
then n > 2 (Goal: show that 1/(2^n - n) <...
I am trying to prove a larger problem, that the sequence (2n^2+n)/(n^2) --> 2
however, i need something small to prove it which is proving the fact that given n > 2,
2^n - n > n
THanks,
JL
Homework Statement
Suppose f: [0,1] \rightarrow R is two-to-one. That is, for each y \in R, f^{-1}({y}) is empty or contains exactly two points. Prove that no such function can be continuous.
Homework Equations
Definition of a continuous function:
Suppose E \subset R and f: E...
Can someone provide some insight for me as to what the following means:
And how I could use this fact to construct my justification for whether f is necessarily continuous?