Taylor Series Pi and e
From WLCS
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:
- Prompt the user for a number N (this will be how many terms you will sum in your approximation)
- Use a while loop to iterate N times (you will need a loop counter -- N is not your loop counter)
- Use several variables to create the summation for Pi
- Print out Pi
- Repeat the above steps for approximating e
Taylor Series Approximation for Pi:
(Wikipedia)
Taylor Series Approximation for e:
(Wikipedia)
Challenge:
- Implement the Taylor series calculations for sin(x) and cos(x)
- Taylor/Maclaurin series of common functions
- Media:CommonTaylorSeriesFunctions.pdf