What are the accumulation points of ( $pi,2pi$ ] $subsetmathbb{R}$?
$begingroup$
I was just curious as to what the accumulation points of ( $pi,2pi$ ] $subsetmathbb{R}$ are. I had gotten $pi,2pi$,1. But the other answers are 3 and 5.
real-analysis
$endgroup$
add a comment |
$begingroup$
I was just curious as to what the accumulation points of ( $pi,2pi$ ] $subsetmathbb{R}$ are. I had gotten $pi,2pi$,1. But the other answers are 3 and 5.
real-analysis
$endgroup$
$begingroup$
can you include some workings how do you obtain those partial results?
$endgroup$
– Siong Thye Goh
Nov 26 '18 at 3:05
add a comment |
$begingroup$
I was just curious as to what the accumulation points of ( $pi,2pi$ ] $subsetmathbb{R}$ are. I had gotten $pi,2pi$,1. But the other answers are 3 and 5.
real-analysis
$endgroup$
I was just curious as to what the accumulation points of ( $pi,2pi$ ] $subsetmathbb{R}$ are. I had gotten $pi,2pi$,1. But the other answers are 3 and 5.
real-analysis
real-analysis
asked Nov 26 '18 at 2:57
Karl TeschKarl Tesch
1
1
$begingroup$
can you include some workings how do you obtain those partial results?
$endgroup$
– Siong Thye Goh
Nov 26 '18 at 3:05
add a comment |
$begingroup$
can you include some workings how do you obtain those partial results?
$endgroup$
– Siong Thye Goh
Nov 26 '18 at 3:05
$begingroup$
can you include some workings how do you obtain those partial results?
$endgroup$
– Siong Thye Goh
Nov 26 '18 at 3:05
$begingroup$
can you include some workings how do you obtain those partial results?
$endgroup$
– Siong Thye Goh
Nov 26 '18 at 3:05
add a comment |
1 Answer
1
active
oldest
votes
$begingroup$
Every point in $[pi, 2 pi]$ is an accumulation point of $(pi, 2pi]$ since any neighbourhood of any point of in $[pi, 2 pi]$ contains a point of $(pi, 2pi]$.
$endgroup$
add a comment |
Your Answer
StackExchange.ifUsing("editor", function () {
return StackExchange.using("mathjaxEditing", function () {
StackExchange.MarkdownEditor.creationCallbacks.add(function (editor, postfix) {
StackExchange.mathjaxEditing.prepareWmdForMathJax(editor, postfix, [["$", "$"], ["\\(","\\)"]]);
});
});
}, "mathjax-editing");
StackExchange.ready(function() {
var channelOptions = {
tags: "".split(" "),
id: "69"
};
initTagRenderer("".split(" "), "".split(" "), channelOptions);
StackExchange.using("externalEditor", function() {
// Have to fire editor after snippets, if snippets enabled
if (StackExchange.settings.snippets.snippetsEnabled) {
StackExchange.using("snippets", function() {
createEditor();
});
}
else {
createEditor();
}
});
function createEditor() {
StackExchange.prepareEditor({
heartbeatType: 'answer',
autoActivateHeartbeat: false,
convertImagesToLinks: true,
noModals: true,
showLowRepImageUploadWarning: true,
reputationToPostImages: 10,
bindNavPrevention: true,
postfix: "",
imageUploader: {
brandingHtml: "Powered by u003ca class="icon-imgur-white" href="https://imgur.com/"u003eu003c/au003e",
contentPolicyHtml: "User contributions licensed under u003ca href="https://creativecommons.org/licenses/by-sa/3.0/"u003ecc by-sa 3.0 with attribution requiredu003c/au003e u003ca href="https://stackoverflow.com/legal/content-policy"u003e(content policy)u003c/au003e",
allowUrls: true
},
noCode: true, onDemand: true,
discardSelector: ".discard-answer"
,immediatelyShowMarkdownHelp:true
});
}
});
Sign up or log in
StackExchange.ready(function () {
StackExchange.helpers.onClickDraftSave('#login-link');
});
Sign up using Google
Sign up using Facebook
Sign up using Email and Password
Post as a guest
Required, but never shown
StackExchange.ready(
function () {
StackExchange.openid.initPostLogin('.new-post-login', 'https%3a%2f%2fmath.stackexchange.com%2fquestions%2f3013758%2fwhat-are-the-accumulation-points-of-pi-2-pi-subset-mathbbr%23new-answer', 'question_page');
}
);
Post as a guest
Required, but never shown
1 Answer
1
active
oldest
votes
1 Answer
1
active
oldest
votes
active
oldest
votes
active
oldest
votes
$begingroup$
Every point in $[pi, 2 pi]$ is an accumulation point of $(pi, 2pi]$ since any neighbourhood of any point of in $[pi, 2 pi]$ contains a point of $(pi, 2pi]$.
$endgroup$
add a comment |
$begingroup$
Every point in $[pi, 2 pi]$ is an accumulation point of $(pi, 2pi]$ since any neighbourhood of any point of in $[pi, 2 pi]$ contains a point of $(pi, 2pi]$.
$endgroup$
add a comment |
$begingroup$
Every point in $[pi, 2 pi]$ is an accumulation point of $(pi, 2pi]$ since any neighbourhood of any point of in $[pi, 2 pi]$ contains a point of $(pi, 2pi]$.
$endgroup$
Every point in $[pi, 2 pi]$ is an accumulation point of $(pi, 2pi]$ since any neighbourhood of any point of in $[pi, 2 pi]$ contains a point of $(pi, 2pi]$.
answered Nov 26 '18 at 3:07
SheafsSheafs
1517
1517
add a comment |
add a comment |
Thanks for contributing an answer to Mathematics Stack Exchange!
- Please be sure to answer the question. Provide details and share your research!
But avoid …
- Asking for help, clarification, or responding to other answers.
- Making statements based on opinion; back them up with references or personal experience.
Use MathJax to format equations. MathJax reference.
To learn more, see our tips on writing great answers.
Sign up or log in
StackExchange.ready(function () {
StackExchange.helpers.onClickDraftSave('#login-link');
});
Sign up using Google
Sign up using Facebook
Sign up using Email and Password
Post as a guest
Required, but never shown
StackExchange.ready(
function () {
StackExchange.openid.initPostLogin('.new-post-login', 'https%3a%2f%2fmath.stackexchange.com%2fquestions%2f3013758%2fwhat-are-the-accumulation-points-of-pi-2-pi-subset-mathbbr%23new-answer', 'question_page');
}
);
Post as a guest
Required, but never shown
Sign up or log in
StackExchange.ready(function () {
StackExchange.helpers.onClickDraftSave('#login-link');
});
Sign up using Google
Sign up using Facebook
Sign up using Email and Password
Post as a guest
Required, but never shown
Sign up or log in
StackExchange.ready(function () {
StackExchange.helpers.onClickDraftSave('#login-link');
});
Sign up using Google
Sign up using Facebook
Sign up using Email and Password
Post as a guest
Required, but never shown
Sign up or log in
StackExchange.ready(function () {
StackExchange.helpers.onClickDraftSave('#login-link');
});
Sign up using Google
Sign up using Facebook
Sign up using Email and Password
Sign up using Google
Sign up using Facebook
Sign up using Email and Password
Post as a guest
Required, but never shown
Required, but never shown
Required, but never shown
Required, but never shown
Required, but never shown
Required, but never shown
Required, but never shown
Required, but never shown
Required, but never shown
$begingroup$
can you include some workings how do you obtain those partial results?
$endgroup$
– Siong Thye Goh
Nov 26 '18 at 3:05