- #1

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## Homework Statement

limit as t-->10 of cos (1/10-t)

## Homework Equations

## The Attempt at a Solution

Obviously we can't substitute in t = 10 or it would be undefined, so how do we do this. Is there an inequalitly that I haven't considered?

- Thread starter Jan Hill
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- #1

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limit as t-->10 of cos (1/10-t)

Obviously we can't substitute in t = 10 or it would be undefined, so how do we do this. Is there an inequalitly that I haven't considered?

- #2

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supposing that the function is: [tex]cos(\frac{1}{10-t})[/tex]

well, the limit does not exist because the cosine function will oscillate crazily between 1 and -1 as t->10.

well, the limit does not exist because the cosine function will oscillate crazily between 1 and -1 as t->10.

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- #3

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lim t-->10 of (t^2-100)/t times cos1/(10-t) + 100

So since the lim as t-->10 of cos1/(10 - t) is undefined, we're left with 100

By the way, I'd use the proper way of expressing math information with symbols etc. if I knew how to use it but I don't know where to get the symbols etc. to be able to use them. Do you know how to remedy this issue?

- #4

Mentallic

Homework Helper

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It's called Latex and the way you use it is by using the tags [ tex ] ...code... [ /tex ] (without the spaces in the tex tags). You can find some code to use by searching through the Sum symbol in the full text editor when you type out your message.

- #5

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thank you very much

- #6

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- #7

Mentallic

Homework Helper

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[tex]\frac{1}{2}[/tex]

- #8

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- #9

Mentallic

Homework Helper

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Then you have,

[tex]\lim_{u\to 0}\frac{u(u+20)}{u+10}cos\left(\frac{-1}{u}\right)+100[/tex]

- #10

Mark44

Mentor

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Here are some links to sites that show how to use LaTeX.By the way, I'd use the proper way of expressing math information with symbols etc. if I knew how to use it but I don't know where to get the symbols etc. to be able to use them. Do you know how to remedy this issue?

http://heather.cs.ucdavis.edu/~matloff/LaTeX/LookHereFirst.html

http://andy-roberts.net/misc/latex/latextutorial9.html

http://www.artofproblemsolving.com/Wiki/index.php/LaTeX:Commands [Broken]

There are a lot of things you can do without using LaTeX, such as exponents and subscripts. To get the extended menu (appears above the text input window), click

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- #11

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Thanks Mentallic! :)

- #12

Mentallic

Homework Helper

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No problem!

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