My Math Forum  

Go Back   My Math Forum > High School Math Forum > Algebra

Algebra Pre-Algebra and Basic Algebra Math Forum


Reply
 
LinkBack Thread Tools Display Modes
April 25th, 2016, 02:08 PM   #1
Senior Member
 
Joined: Oct 2015
From: Antarctica

Posts: 128
Thanks: 0

Exclamation Simplify the following as one equation:

Please be aware that "log" refers to the natural logarithm, base e, which is commonly written as "ln" in the following function:



The task is to simplify the above Piecewise function into one equation that is defined and continuous for all real input x except at x=0. However, I am not sure how this is possible. For example, if I had this:



I could simplify that down to just the Cos(x). However, I am not sure how to do this for the initial equation I specified above. There is an answer to this, though, and I'm not sure what it is.
John Travolski is offline  
 
April 25th, 2016, 03:42 PM   #2
Global Moderator
 
Joined: May 2007

Posts: 6,641
Thanks: 625

It can't be done. $\displaystyle \lim_{x->0}$ does not exist for either part.
mathman is offline  
April 25th, 2016, 03:48 PM   #3
Senior Member
 
Joined: Oct 2015
From: Antarctica

Posts: 128
Thanks: 0

This was kind of a trick question, but I was hoping there was an answer that didn't use i (the square root of negative 1). Look at this. As far as I can tell, this is what it actually does simplify to. Correct me and explain (an example would be the best form of explanation) if I'm wrong:

= Re[x^i]

(Where Re[a+bi] is a function that gives only the real part (a) of any complex output.)

I do know that 0^i is undefined, so I'm not sure if I'm wrong with this.
John Travolski is offline  
Reply

  My Math Forum > High School Math Forum > Algebra

Tags
equation, simplify



Thread Tools
Display Modes


Similar Threads
Thread Thread Starter Forum Replies Last Post
Simplify Trig Equation pwndogmaster1 Trigonometry 1 December 1st, 2014 05:48 PM
simplify equation to get a quadratic equation mich89 Algebra 3 January 9th, 2013 02:22 PM
Simplify trig equation nubshat Trigonometry 4 October 6th, 2012 12:13 PM
Simplify this equation? Factoring? pjlloyd Algebra 1 October 26th, 2011 03:50 PM
Simplify this equation (two different answers?) sharp Algebra 2 December 27th, 2010 05:41 PM





Copyright © 2018 My Math Forum. All rights reserved.