Difference between revisions of "Taylor Series Pi and e"

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* You will use loops to determine the approximations of mathematical constants
 
* You will use loops to determine the approximations of mathematical constants
 
* You will implement the Taylor series approximation of Pi (~3.1415...)
 
* You will implement the Taylor series approximation of Pi (~3.1415...)
* You will implement the Taylor series approximation of e (~2.178...)
+
* You will implement the Taylor series approximation of e (~2.718...)
  
 
'''Resources:'''
 
'''Resources:'''

Revision as of 09:29, 10 November 2015

Objective:

  • You will use loops to determine the approximations of mathematical constants
  • You will implement the Taylor series approximation of Pi (~3.1415...)
  • You will implement the Taylor series approximation of e (~2.718...)

Resources:

Directions:

  1. Prompt the user for a number N (this will be how many terms you will sum in your approximation)
  2. Use a while loop to iterate N times (you will need a loop counter -- N is not your loop counter)
  3. Use several variables to create the summation for Pi
  4. Print out Pi
  5. Repeat the above steps for approximating e

Taylor Series Approximation for Pi:

TaylorSeriesPi.png

(Wikipedia)


Taylor Series Approximation for e:

TaylorSeriesE.png

(Wikipedia)


Challenge:

  • Implement the Taylor series calculations for sin(x) and cos(x)