Taylor Series Pi and e

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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: