My Math Forum require a value of h such that sin(x) equals for x

 Calculus Calculus Math Forum

 March 6th, 2011, 02:33 PM #1 Member   Joined: Feb 2011 Posts: 58 Thanks: 0 require a value of h such that sin(x) equals for x I have a bunch of these types of questions which are all similar, could someone show me how to do this one, then I will be able to do the rest. Find a value of h such that for $|x|=
 March 6th, 2011, 09:41 PM #2 Senior Member   Joined: Nov 2010 Posts: 502 Thanks: 0 Re: require a value of h such that sin(x) equals for x I assume you are learning Taylor series and Taylor expansions?
 March 8th, 2011, 07:03 AM #3 Member   Joined: Feb 2011 Posts: 58 Thanks: 0 Re: require a value of h such that sin(x) equals for x yes
 March 8th, 2011, 10:51 AM #4 Senior Member   Joined: Nov 2010 Posts: 502 Thanks: 0 Re: require a value of h such that sin(x) equals for x Ok, so the general idea behind these questions is to look at the Taylor remainder form. The so called Lagrange form involves looking at the next term in the series (the first one excluded), and maximizing the derivative coefficient. As we are dealing with sin, the derivative cannot be larger than 1. So we need only consider x^7/7! < .0001. This looks to be about .9 to me. I was deliberately a little hazy on the details to encourage you to work through it. But does that make sense? Do you know the Lagrange form?

 Tags equals, require, sinx

 Thread Tools Display Modes Linear Mode

 Similar Threads Thread Thread Starter Forum Replies Last Post yogazen2013 Calculus 2 October 5th, 2013 08:44 AM Anthony.R.Brown Number Theory 1 August 24th, 2013 08:56 AM xinglongdada Real Analysis 5 May 6th, 2012 12:51 PM honzik Applied Math 1 June 10th, 2009 04:20 PM knowledgegain Calculus 2 May 2nd, 2009 01:32 AM

 Contact - Home - Forums - Cryptocurrency Forum - Top