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 {
margin-left: 50px ;
margin-right: 29%;
font-weight: 500;
color: #000000;
background-color: #cccccc;
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;
color: #fff;
border-color: #336699;
background-color: #337799;
}

.left {
content:url("https://i.imgur.com/rUsxo7j.png");
width:50px;
border-radius: 50%;
float:left;
}
.right{
content:url("https://i.imgur.com/5ALcyl3.png"); width:50px;
border-radius: 50%;
display: inline-block;
vertical-align:top;
}
</style>

<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>
</div>
<div>
<i class="fa fa-camera fa-2x"></i>
</div>

<div>
<i class="fa fa-comments fa-2x"></i>
</div>
<div>
<i class="fa fa-address-card fa-2x" aria-hidden="true"></i>
</div>
<div>
<i class="fa fa-phone fa-2x" aria-hidden="true"></i>
</div>
<div>
<i class="fa fa-list-ul fa-2x" aria-hidden="true"></i>
</div>
<div>
<i class="fa fa-user-plus fa-2x" aria-hidden="true"></i>
</div>
</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?

</div></div>

<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.

</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

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

</div></div>

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

can't hear *cheechksh* you

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

<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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