Taylor Series Pi and e

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:

• Media:PythonWhileLoops.pptx
• Wikipedia: Taylor series
• [Media:CommonTaylorSeries.pdf]

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:

(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