My Math Forum  

Go Back   My Math Forum > College Math Forum > Calculus

Calculus Calculus Math Forum


Thanks Tree1Thanks
  • 1 Post By skipjack
Reply
 
LinkBack Thread Tools Display Modes
November 24th, 2016, 07:04 PM   #1
Newbie
 
Joined: Oct 2015
From: London

Posts: 22
Thanks: 0

Function Continuous

Is a function defined at this point continuous?




L'Hôpital's rule ?
pass92 is offline  
 
November 24th, 2016, 07:17 PM   #2
Math Team
 
Joined: Dec 2013
From: Colombia

Posts: 7,355
Thanks: 2469

Math Focus: Mainly analysis and algebra
No.

1) The function $\sin{(y)}$ is continuous for all $y$, so $\sin{(x-\sin x)}$ is continuous wherever $x-\sin x$ is continuous. What does that mean?

2) $\tan y$ is not continuous at $y=n\frac{\pi}2$. So $\tan \left(\frac{\pi}4 \cos(\sin x^\frac13)\right)$ is not continuous if $\frac{\pi}4 \cos(\sin x^\frac13)=n\frac{\pi}2$. For what values of $x$ is $\frac{\pi}4 \cos(\sin x^\frac13)=n\frac{\pi}2$?

$\tan y$ is not continuous everywhere else so $\tan \left(\frac{\pi}4 \cos(\sin x^\frac13)\right)$ as long as $\frac{\pi}4 \cos(\sin x^\frac13)$ is continuous (and not equal to $n\frac{\pi}2$). Is there anywhere where $\frac{\pi}4 \cos(\sin x^\frac13)$ is not continuous?

Last edited by skipjack; November 24th, 2016 at 07:35 PM.
v8archie is offline  
November 24th, 2016, 07:41 PM   #3
Global Moderator
 
Joined: Dec 2006

Posts: 19,511
Thanks: 1742

Where n is an odd integer.
Thanks from v8archie
skipjack is online now  
November 25th, 2016, 04:55 AM   #4
Newbie
 
Joined: Oct 2015
From: London

Posts: 22
Thanks: 0

Wolfram|Alpha: Computational Knowledge Engine)))
pass92 is offline  
Reply

  My Math Forum > College Math Forum > Calculus

Tags
continuous, function



Thread Tools
Display Modes


Similar Threads
Thread Thread Starter Forum Replies Last Post
continuous function Mahboob Math 1 March 14th, 2015 06:25 AM
function continuous Jamilson Complex Analysis 1 November 9th, 2013 10:49 AM
continuous function sebaflores Real Analysis 1 October 8th, 2013 11:23 AM
Is the function continuous at 0 OriaG Calculus 3 February 9th, 2013 04:35 PM
continuous function frankpupu Calculus 5 February 13th, 2012 03:58 AM





Copyright © 2018 My Math Forum. All rights reserved.