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# System prepended metadata

title: My lesson Topic

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Math 181 Miniproject 3: Texting Lesson.md
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My lesson Topic
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<style>
body {
  background-color: #eeeeee;
}

h1 {
  color: maroon;
  margin-left: 40px;
} 



.gray {
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    font-weight: 500;
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    border-color: #aaaaaa;
}



.blue {
    display: inline-block;
    margin-left: 29% ;
    margin-right: 0%;
    width: -webkit-calc(70% - 50px);
    width:    -moz-calc(70% - 50px);
    width:         calc(70% - 50px);
    font-weight: 500;
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}

.left {
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<div id="container" style=" padding: 6px;
    color: #fff;
    border-color: #336699;
    background-color: #337799;
    display: flex;
  justify-content: space-between;
  margin-bottom:3px;">
<div>
<i class="fa fa-envelope fa-2x"></i>
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<div>
<i class="fa fa-camera fa-2x"></i>
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<div>
<i class="fa fa-comments fa-2x"></i>
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<div>
<i class="fa fa-address-card fa-2x" aria-hidden="true"></i>
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<i class="fa fa-phone fa-2x" aria-hidden="true"></i>
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<i class="fa fa-list-ul fa-2x" aria-hidden="true"></i>
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<i class="fa fa-user-plus fa-2x" aria-hidden="true"></i>
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</div>






<div><img class="left"/><div class="alert gray">

okay. So why can there be 2 points for an x value, when we are talking about differentialbility? 

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<div><div class="alert blue">

What do you mean by 2 x values?  

</div><img class="right"/></div> 


<div><img class="left"/><div class="alert gray">

No not 2 x values, but one x and 2 y values.
![](https://i.imgur.com/wLXg81z.png)



</div></div> 

<div><img class="left"/><div class="alert gray">

Why are there 2 values? how can there be?

</div></div> 

<div><div class="alert blue">

So in this example you are looking at winnings from a game show, where the y-values are dollars, and the x is time. So , at 55 min, the contestant rallied and won $40. Unfortunately, taxes had to be paid, so while they won $40, they only took home $28. So for the values of *a*, *f* has a limit, but the lim *x to a* *f(x)* does not equal *f(a)*
</div><img class="right"/></div> 

<div><img class="left"/><div class="alert gray">
So the limit was what you thought you were getting, and the actual value is $28?

</div></div> 

<div><div class="alert blue">

You got it! So the limit exists but it is different than the function value. It would be *f(55)=28.*


</div><img class="right"/></div>

<div><img class="left"/><div class="alert gray">
Thanks! I know you were Dr. Bieser's course assistant for a while, can you help me with my Biology project?

</div></div> 

<div><div class="alert blue">

oh no.

</div><img class="right"/></div>
<div><div class="alert blue">

bad *chhc* connection

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</div></div> 

<div><div class="alert blue">

can't hear *cheechksh* you

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<div><img class="left"/><div class="alert gray">
this is a text message
</div></div> 
<div><div class="alert blue">
so far away
</div><img class="right"/></div>
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To submit this assignment click on the Publish button ![Publish button icon](https://i.imgur.com/Qk7vi9V.png). Then copy the url of the final document and submit it in Canvas.



