Skip to main content
Search type Search syntax
Tags [tag]
Exact "words here"
Author user:1234
user:me (yours)
Score score:3 (3+)
score:0 (none)
Answers answers:3 (3+)
answers:0 (none)
isaccepted:yes
hasaccepted:no
inquestion:1234
Views views:250
Code code:"if (foo != bar)"
Sections title:apples
body:"apples oranges"
URL url:"*.example.com"
Saves in:saves
Status closed:yes
duplicate:no
migrated:no
wiki:no
Types is:question
is:answer
Exclude -[tag]
-apples
For more details on advanced search visit our help page
Results tagged with
Search options not deleted user 24309

Real-valued functions of real variable, analytic properties of functions and sequences, limits, continuity, smoothness of these.

2 votes
Accepted

finding the limit $\lim_{a\rightarrow \infty} \frac{a^N}{\log a} \int_{0}^\infty \frac{e^{-x...

I propose you take $$g(x):=\frac{N}{c}\exp\frac{-x}{N}.$$ I too doubt that you can find an answer independent on $N$. The method I used to determine $g$ might lead to an answer which is more intrese …
Loïc Teyssier's user avatar
1 vote

A question about approximation of Real analytic functions

Let me just present the following example which I think relates somehow to the OP question, although it does not answer (anymore) the (now modified) question. Considering the subset $C$ of power seri …
Loïc Teyssier's user avatar
3 votes
Accepted

How I can choose $(t_1,t_2,...,t_{r}) \in (0,1)^{r}$ such that $f^{(k)}\left(1-2\prod_{j=1}^...

As your question is stated, nothing guarantees that $f^{(k)}$ has a single simple zero. The fact that you introduce extra paremeters cannot change that fact! So, in general, the answer is: there is no …
Loïc Teyssier's user avatar
2 votes

Solving a functional equation

Fact: if you can recover $(f,g)$ from the collection $(h_v)_{v\in V}$ then it must be the unique solution to your problem. The case $h_v=0$ leads to a lot of non-uniqueness. Otherwise, there is only …
Loïc Teyssier's user avatar
8 votes
Accepted

Is there an algebra for divergent series summation operators?

I'll try to offer as much knowledge as I can on this topic, which might not be that much. Firstly your linear form $s$ is defined on a strict linear subspace $L$ of the vector spaces of all formal s …
Loïc Teyssier's user avatar
2 votes
Accepted

Analyticity of central stable manifolds

Quick answer to the first question: no, there is no reason why it should be analytic. Take e.g. the parametric vector field (written as a Lie derivative)$$X(x,y):=-x^3\partial_x+(y+\alpha x)\partial_y …
Loïc Teyssier's user avatar