Post your solution to the Feb 8 In-class Exercise to this thread.
Best, Chris
Name: Aishwarya Borkar
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<html> <head> <title>Expontential Series</title>
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<body> <h1>Exponential Series</h1>
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<li>Σ<sup>∞</sup><sub>n=0</sub> x<sup>n</sup> / n!</li>
<li>Learn more about the exponential function <a href="https://en.wikipedia.org/wiki/Exponential_function">here.</a></li>
<li>Fun fact: the In mathematics, the exponential function is the function e<sup>x</sup>, where e is the number (approximately 2.718281828) such that the function e<sup>x</sup> is its own derivative</li>
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(Edited: 2017-02-08)Name: Michael Nguyen <!DOCTYPE html> <html> <head> <title>Exponential Series</title> <meta charset="utf-8" /> </head> <body> <h1>Exponential Series</h1> <ol> <li>&Sigma;<sup>&infin;</sup><sub>n = 0</sub> = x<sup>n</sup> / n!</li> <li><a href="https://en.wikipedia.org/wiki/Exponential_function">Wikipedia Article on Exponential Series</a></li> <li>Since the radius of convergence of this power series is infinite, this definition is applicable to all complex numbers z.</li> </ol> </body> </html>
(Edited: 2017-02-08)Name: Mohnish Kadakia <!DOCTYPE html> <html> <head> <title>Exponential Series</title> </head> <body> <h1>Exponential Series</h1> <ol> <li>&#8721 <sup>&infin;</sup><sub>x=0</sub> x<sup>n</sup>&#x2215 n!</li> <li><a href="https://en.wikipedia.org/wiki/Exponential_function">Exponential function</a></li> <li>The derivative of the exponential function is the exponential function itself.</li> </ol> </body> </html>
Name: Mykhailo Behei
<!doctype html> <html> <head> <meta charset="utf-8"> <title>Exponential Series</title> </head>
<body>
<h1>Exponential Series</h1>
<ol>
<li>
Σ<sub>n=0</sub><sup>∞</sup>
x<sup>n</sup> / n!
</li>
<li>
<a href="https://en.wikipedia.org/wiki/Exponential_function">Exponential Function [Wikipedia]</a>
</li>
<li>
The exponential function arises whenever a quantity grows or decays at a rate proportional to its current value.
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<!DOCTYPE html> <head> <title>Exponential Series</title> </head> <body> <h1>Exponential Series</h1> <ol> <li>&Sigma;<sup>&#x221e;</sup><sub>n=0</sub> x<sup>n</sup>/n!</li> <li><a href="https://en.wikipedia.org/wiki/Exponential_function">Explanation</a></li> <li>The exponential function will have itself as the derivative when of the form e<sup>x</sup></li> </ol> </body>
Name: Dean Johnson
(Edited: 2017-02-08)Name: Yash Parikh
<!DOCTYPE html> <html lang="en"> <head> <meta charset="UTF-8"> <title> Exponential Series </title> </head> <body> <h1> Exponential Series </h1> <ol> <li> An example of an Exponential Series is <br /> &Sigma;<sup>&#x221e;</sup><sub>n = 0</sub> = x <sup>n</sup> / n! </li> <li> To learn more about Exponential Series, <a href="https://en.wikipedia.org/wiki/Exponential_function"> click on this link.</a> </li> <li> A cool fact about Exponential Series is that in mathematics, the exponential function is the function e<sup>x</sup>, such that the function e<sup>x</sup> is its own derivative.</li> </ol> </body> </html>
Name: Pei Liu <!DOCTYPE html> <html> <head> <title>Exponential Series</title> <link rel="icon" type="image/png" href="favicon.png" /> </head> <body> <h1>Exponential Series</h1> <hr/> <ol> <li>&Sigma;<sup>∞</sup><sub>n=0</sub><sup>x<sup>n</sup></sup> / n<sup>!</sup></li> <li><a href="https://en.wikipedia.org/wiki/Exponential_function">Learn more about the exponential function</a></li> <li>Fun fact: the In mathematics, the exponential function is the function e<sup>x</sup> , where e is the number ( approximately 2.718281828) such that the function e<sup>x</sup> is its own derivative</li> </ol> </body> </html>
Name: Rohan Kumar
<!DOCTYPE html> <html> <head> <title>Exponential Series</title> <meta charset="utf-8"> </head> <body> <h1>Exponential Series</h1> <ol> <li>&sum;<sup>&infin;</sup><sub>n=0</sub>&nbsp;&nbsp;<sup>x<sup>n</sup></sup>&frasl;<sub>n!</sub></li> <li> <a href="http://en.wikipedia.org/wiki/Exponential_function">Wikipedia page on Exponential function.</a> </li> <li>Exponential functions can be used to model real world situations. For example: <ul> <li>Population growth</li> <li>Radioactive decay</li> <li>Compound rates</li> </ul> </li> </ol> </body> </html>
Name: David Lerner
<!DOCTYPE html> <html> <head> <title>Exponential Series</title> <meta charset="utf-8" /> </head> <body> <h1>Exponential Series</h1> <ol> <li>Σ<sup>∞</sup><sub>n = 0</sub> x<sup>n</sup> / n!</li> <li><a href="https://en.wikipedia.org/wiki/Exponential_function">Exponential Function (Wikipedia)</a></li> <li>Its ubiquitous occurrence in pure and applied mathematics has led mathematician W. Rudin to opine that the exponential function is &quotthe most important function in mathematics&quot.</li> </ol> </body> </html>
(Edited: 2017-02-08)