Reputation
57,033
Next tag badge:
397/400 score
77/80 answers
Badges
4 120 211
Impact
~1.1m people reached

Jan
25
comment Why is this sum wrong?
@Redding: The example I gave you is a good example. But the simplest reason is that the theorems you use to justify taking individual limits only involve finite number of terms, independent of $n$. There are no such theorems when the number of terms is dependent on $n$.
Jan
25
answered Why is this sum wrong?
Jan
24
revised The Diophantine equation $x^2 + 2 = y^3$
edited tags
Jan
23
comment Evaluating $\lim_{n\to\infty} e^{-n} \sum\limits_{k=0}^{n} \frac{n^k}{k!}$
[Older question, perhaps merge...] possible duplicate of Partial sums of exponential series
Jan
23
revised Maximal Multiplication of All Possible Summands
edited tags
Jan
21
revised Linear Combinations of Fibonacci Numbers (integer coefficients)
edited title
Jan
21
comment Comparing $\pi^{e}$ and $e^{\pi}$
@MurtuzaVadharia: Yes, it is true. Consider $f(x) = e^x -1 -x$. It's derivative is $e^x -1$ which is $\lt 0$ for $x \lt 0$ and $\gt 0$ for $x \gt 0$, so $f$ decreases from $-\infty$ to $0$, and increases from $0$ to $\infty$. Since $f(0) = 0$...
Jan
14
comment Linear Combinations of Fibonacci Numbers (integer coefficients)
@theage: No worries. At least you even bothered to respond to my comments. Some folks don't even care :-) I suggest you wait at least a couple of days before even thinking about accepting. By accepting an answer too soon you cut down on the number of folks who will even see the question.
Jan
14
comment Linear Combinations of Fibonacci Numbers (integer coefficients)
-1: This does not even consider the constraint that the coefficients are integers.
Jan
14
comment Linear Combinations of Fibonacci Numbers (integer coefficients)
<peeve> It is so annoying when someone accepts an answer too quickly, and that too the wrong one. </peeve>
Jan
13
comment Convergence of a sequence given by recursive relation
Related: math.stackexchange.com/questions/10065/…
Jan
13
revised Compute $f^{(22)}(0)$ where $f(x)= \sin(x)/x$ if $x\neq0$ and $1$ if $x=0.$
deleted 5 characters in body
Jan
13
revised For a continuous function $f$ show $\exists c\in (0,1)$ s.t $f(c)=3c^2$
edited tags
Jan
13
revised Limit of a sequence of a function
added 4 characters in body
Jan
13
revised Limit of a sequence of a function
added 9 characters in body
Jan
13
answered Limit of a sequence of a function
Jan
12
comment Proving the inequality $e^{\sin(\sqrt{2}/{7})}<11/9$ without calculator
$11/9 - e^{\sin (\sqrt{2}/7)} = 0.00001435084425...$ So if you came up with it yourself, and need a proof, don't get your hopes up. While there might be a nice proof, it is unlikely to be found...
Jan
12
comment Proving the inequality $e^{\sin(\sqrt{2}/{7})}<11/9$ without calculator
What is the source of this problem? Is it some contest problem or were you just playing around with a calculator?
Jan
12
revised Prove $\mathbb{P}( k < l/2 ) \geq \frac{l}{2} \times \mathbb{P}( k = l/4 ) $ for binomial variable $k$
edited tags
Jan
12
revised How to show $\,f(x)=3e^{2x} -10x -7x^2\,$ has a minimum on $\,[0, 1]$
edited tags