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comment Nontrivial entire $f(z)$ never equal to $0$
How in the world is $\exp(z)$ a "trivial" case?
Jul
1
comment Is the limit superior defined on every real-valued function with a finite range?
Wow, you're right. I had no idea the entire english speaking word is using the wrong expression. And yes, I feel it is wrong. Because $\limsup$ us the "largest wall", and limes is wall in latin...
Jul
1
comment Is the limit superior defined on every real-valued function with a finite range?
I know I could just edit your question, but it's important to tell you this: it's not limit superior, it's limes superior.
Jul
1
answered How to prove $f(x)$ is differentiable at $x=0$
Jun
30
comment Uniform convergence on singleton
@nikolai Which theorem about uniform convergence on a union of sets? Can you cite exactly what the theorem states?
Jun
30
answered Uniform convergence on singleton
Jun
30
revised Fredholm-like equation
added 549 characters in body
Jun
30
answered Fredholm-like equation
Jun
30
answered How to calculate this limit as $x\rightarrow 0$?
Jun
30
comment How to calculate this limit as $x\rightarrow 0$?
Your approach is correct, by the way. The answer is then $0$ by the rule that $\lim a_n b_n = \lim a_n \lim b_n$ if both limits on the right exist.
Jun
30
comment How to calculate this limit as $x\rightarrow 0$?
You should write your progress not in the comments, but edit your question to show it.
Jun
30
comment How to calculate this limit as $x\rightarrow 0$?
Hi and welcome to the site! Since this is a site that encourages and helps with learning, it is best if you show your own ideas and efforts in solving the question. Can you edit your question to add your thoughts and ideas about it?
Jun
29
comment Does the harmonic series converge if you throw out the terms containing a $9$?
I see you accepted my answer. I think you should accept the answer by @Travis instead, since the answer is of much higher quality than my own...
Jun
29
answered derivative integral $\int_0^{x^2} \sin(t^2)dt$
Jun
29
revised Does the harmonic series converge if you throw out the terms containing a $9$?
added 151 characters in body
Jun
29
answered Does the harmonic series converge if you throw out the terms containing a $9$?
Jun
29
answered Which slope is greater: one going very slightly downward, or one going quite steeply downward?
Jun
26
comment rockets in the corners of a square
@MatthewPanks But there is no "intuitive" reasoning that tells you that the rockets will collide and not simply get nearer and nearer asymptotically
Jun
26
comment rockets in the corners of a square
I'm not even convinced the rockets crash. Sure, I think they probably do, but until I either calculate it or see a convincing strict calculaton showing that's the case, I wouldn't go around explaining how that's "intuitively" true.
Jun
26
comment Why is $U(10)\not\approx U(12)$?
Also, your question is "Why is $U(12)\approx U(12)$", but the example you posted shows just the opposite...