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$$ We are given $( f(x) = \log(3e^{2x} + 4x - 5) )$, and we need to determine the behavior of ( f(x) ) as $( x \to +\infty )$.

Step 1: Simplify $( 3e^{2x} + 4x - 5 ) as ( x \to +\infty )$

For very large $( x )$, the term $( 3e^{2x} )$ dominates over $( 4x - 5 )$, because $( e^{2x} )$ grows much faster than any polynomial. Hence: $$[ 3e^{2x} + 4x - 5 \sim 3e^{2x} \quad \text{as } x \to +\infty.

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//--------------Engine.js-------------------

const WIDTH =     320;
const HEIGHT =    180;
const PAGES =     10;  //page = 1 screen HEIGHTxWIDTH worth of screenbuffer.
const PAGESIZE = WIDTH*HEIGHT;

const SCREEN = 0;
const BUFFER = PAGESIZE;
const BUFFER2 = PAGESIZE*2;

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http://tehmou.github.io/WebGL-from-Scratch/
a few annotated code style tutorials explaining the basics of setting up webgl, cool water ripple shader

http://webglfundamentals.org/

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2d camera in canvas:
http://stackoverflow.com/questions/16919601/html5-canvas-camera-viewport-how-to-actally-do-it

Codeincomplete series on javascript games:
http://codeincomplete.com/games/

Coding Math:
http://www.codingmath.com/

Mary Rose Cook codes a Canvas game live in 30 minutes:

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canvas play: rainbow squiggle

Lots of "magic numbers" going on here for the motion and color, my goal was simply to learn how to animate within a canvas element. My one struggle on this one was figuring out how to make a line made up of individual circles seem continuously drawn despite the speed increase. Eureka moment came when I realized I could just draw more than 1 per frame.

A Pen by Ryan Malm on CodePen.

License.

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// Use Gists to store code you would like to remember later on
console.log(window); // log the "window" object to the console