Limits on the Ti-nSpire

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B Hartman

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Apr 19, 2017, 3:23:36 PM4/19/17
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1st off, curious as to why the template for limits on the regular CX is on the template, allows you to select it, and enter values and THEN says it only works on the CAS version when you try to actually evaluate.  Also, remind me why items in the template have a bold T over them if they do not work on the regular CX.  Seems like I know that at one time but forgot.

On my CAS, I have had a couple issues with limits for end behavior.  Yesterday in a Scratchpad, I had a piecewise function defined as f(x) where the right end behavior was a exponential growth function times a cosine function and it would not evaluate it.  When I tiped the lim x--> infinity of f(x) it just show the lim of the actual piecewise function written out without evaluating it.

I also wanted to verify the end behavior of the greatest integer function using limits.  Again, it just changes int(x) into floor(x) without evaluating the limit.  Wolfram Alpha verified my thoughts, that it approaches infinity. 

Any thoughts???

Bruce   


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A B Cron

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Apr 19, 2017, 6:34:39 PM4/19/17
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Knowledge Base

 Solution 33791: Using the Floor ( ) Function on the TI-Nspire™ Family Products.
Type   Question and Answer
Last Updated   09-JAN-2013 15:57:39

How can I use the floor( ) function on the TI-Nspire family products?

The floor function returns the nearest integer that is less than or equal to its argument. This function is identical to the int ( ) function. The argument can be a real or complex number, a number, a list or a matrix. The proper syntax for the floor function is floor(expression).

Also,

Int() -- Returns the greatest integer that is less than or equal to the argument. This function is identical to floor()

From TI-Nspire Reference Guide

 
However, if your students might program computers in C++, Python, and other languages...

The functions int() and floor() are not necessarily the same...

int() will return the integer part of a real number, i.e., truncate the value; also used to convert values to an integer
floor() will always go to the number line left-most value of a real number
ceiling() is the complement of floor()

While many times these will be the same value there are occasions where they are very different.

Tony

Sean Bird

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Apr 19, 2017, 6:44:30 PM4/19/17
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 T is for Text. Since the TI-Nspire has Notes pages, text can be a useful pedagogical tool even if you don't have CAS.

John Hanna

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Apr 19, 2017, 7:05:44 PM4/19/17
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1.      See Sean’s answer

2.      At what point would you expect the ‘CAS-only’ message to appear understanding that It is allowed in Text-only situations?

 

Best Regards,

         John Hanna

         jeh...@optonline.net

         www.johnhanna.us

         T3 - Teachers Teaching with Technology

         http://education.ti.com


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Hartman, B

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Apr 20, 2017, 8:02:06 AM4/20/17
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If I was not on a Notes/text page, I would like the message that it doesn't work without CAS as soon as I click it on the template, not after I have taken the time to type in everything on a calculator page and hit enter and get the message. 

On Wed, Apr 19, 2017 at 7:05 PM, John Hanna <jeh...@optonline.net> wrote:

1.      See Sean’s answer

2.      At what point would you expect the ‘CAS-only’ message to appear understanding that It is allowed in Text-only situations?

 

Best Regards,

         John Hanna

         jeh...@optonline.net

         www.johnhanna.us

         T3 - Teachers Teaching with Technology

         http://education.ti.com

 

From: tins...@googlegroups.com [mailto:tinspire@googlegroups.com] On Behalf Of B Hartman
Sent: Wednesday, April 19, 2017 3:24 PM
To: tinspire <tins...@googlegroups.com>
Subject: [tinspire] Limits on the Ti-nSpire

 

1st off, curious as to why the template for limits on the regular CX is on the template, allows you to select it, and enter values and THEN says it only works on the CAS version when you try to actually evaluate.  Also, remind me why items in the template have a bold T over them if they do not work on the regular CX.  Seems like I know that at one time but forgot.

 

On my CAS, I have had a couple issues with limits for end behavior.  Yesterday in a Scratchpad, I had a piecewise function defined as f(x) where the right end behavior was a exponential growth function times a cosine function and it would not evaluate it.  When I tiped the lim x--> infinity of f(x) it just show the lim of the actual piecewise function written out without evaluating it.

 

I also wanted to verify the end behavior of the greatest integer function using limits.  Again, it just changes int(x) into floor(x) without evaluating the limit.  Wolfram Alpha verified my thoughts, that it approaches infinity. 

 

Any thoughts???

 

Bruce   

 

 


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Tom Wolstenholme

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Apr 20, 2017, 8:40:03 AM4/20/17
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Hi, could you tell me why I have received this?
Thank you
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