Epsilon Delta proof of a limit (generalized)

Every source I look into that gives a epsilon delta proof of a limit always uses fixed values to perform a direct proof. Does anyone know where I can find a generalized proof? I don’t want to just apply the definition on a specific problem.

html – How to limit bandwidth of HTML5 video?

I want to offer a video for viewing using the HTML5 tag. Is there a way to limit the bandwidth at which the video is played back?

The idea here is that I want to limit the impact on the server, because I know that when I’m watching videos, the browser often reads more than it needs to because I usually click away and never watch all of it.

Shared Hosting File Limit Issues

Hi –

New to WebHosting Talk. I apologize in advance for this being long, but I hope someone can offer some insight into the mysterious … | Read the rest of https://www.webhostingtalk.com/showthread.php?t=1825876&goto=newpost

Changing upper limit summation with lower limit stay same

I have been surfing a topic relate to summation, but I have not found one relate to my case.

I have a problem like this,

$$sum_{k = 1}^{10}{(k+2)} = sum_{k = 1}^{5}cdots$$

Any idea to solve this? I’m looking this case is solved in general, too.

How to limit user accounts on windows server 2012

We have a windows server 2012 and we are sharing it across multiple users. Here Users are domain users with administrator privileges. because of administrator privilege any user can add any new user. To prevent that I want any solution for the following points.

  1. Remove "add user" permission from the domain-administrators users via some command or group policy editor?
  2. Limit the number of user account on the server?
  3. disable "add user" button itself.

If the left and right hand limits of a function have equal magnitude but opposite sign, does there exist a limit for that function?

I have been taught that if the left and right hand limits of a function are not equal, then there is not a limit for that function. However I have also seen functions which tend to positive and negative infinity depending on from which direction you evaluate it. So was the rule I was taught not strictly correct, rather if a function has left and right limits that are not of equal magnitude then there exists no limit, but if they are of the same magnitude but opposite sign, we can say there exists a limit which is plus/minus the magnitude?

I/O limit at Hostinger

Good morning,

Does anyone know the I/O limit at Hostinger? I know they use CloudLinux with LVE limits but didn’t found, both on their con… | Read the rest of https://www.webhostingtalk.com/showthread.php?t=1825353&goto=newpost

calculus and analysis – Evaluate the limit of a subsequence: Compute the limit $ lim_{ntoinfty} cosleft( pi sqrt{4n^2 + 5n + 1} right) $ Integer $n$ on Mathematica

I want to compute the limit $$ lim limits_{ntoinfty} cosleft( pi sqrt{4n^2 + 5n + 1} right) $$for integer $n$. By completing the square, we can determine that this limit is equal to $ – tfrac1{sqrt2} approx -0.7071 $.

But if we don’t restrict $n$ to an integer, then the limit is indeterminate / does not exist. And can be easily found by typing it on WolframAlpha. Or in Mathematica:

However, I do not know how to compute the limit (on Mathematica) with the original constraint that $n$ must be an integer.

I know that we can plot a graph on Mathematica:

But what is the exact value of the limit?

The graph suggests that the limit is equal to $-tfrac1{sqrt2} $. However, this doesn’t look like a convincing result because we can’t know that the limit is exactly equal to $-tfrac1{sqrt2} $.

Question: Is there a way to compute this limit in Mathematica where it spits out a single numerical value (of $-1/{sqrt2}$)?

javascript – How to limit access to media library using wp.media on the frontend?

I am trying to make a frontend page for my plugin where users can create a post (CPT) and attach a thumbnail to it.

I call wp_enqueue_media(); and use this HTML in the form:

    <label for="post_image">Name</label>
    <input type="text" id="post_image">
    <button type="button" class="btn js-image-upload">Select Image</button>

with this js code for the media uploader

$(document).on('click', '.js-image-upload', function(e) {

        var button = $(this);

        var file_frame = wp.media.frames.file_frame = wp.media({
            title: 'Select or Upload an Image',
            library: {
                type: 'image'
            button: {
                text: 'Select Image'
            multiple: false

        file_frame.on('select', function() {
            var attachment = file_frame.state().get('selection').first().toJSON();



It’s still work in progress, but the uploading and selecting of images works so far. However, I would like to limit access to media library. Currently a user can access any previously uploaded files by other users.

Is it possible that users can only access images that they uploaded themselves?

I was wondering if that can be accomplished with setting the appropriate arguments when calling wp.media({...}). But I cannot even find a list with valid options, I checked the codex, but without success.