Question

4. Pi is an irrational number whose first digits are: 3.1415928. The precise value of pi is equal to the infinite sum: pi = 4/1-4/3 + 4/5-4/7 + 4/9-4/11 + You can compute better and better approximations of pi by computing more terms of the series. Write function approxPi(deltaValue) that computes and returns an approximation of pi. Use a while loop (not a for loop) Each iteration should update the pi approximation by including one additional term from the series. The loop should terminate when the difference between the previous iteration's approximation and the new iteration's approximation is less than deltaValue. For example approxPL(.01) 3.1465677471829556 >>>approxPi(-00S) 3.144086415298了61 approxPi 00001) 3.141597653564762

Note: you may not use list comprehensions or similar Python constructs not taught yet in this course. Use while loops (or for loops, except while required in Q4) for iteration. You may not use any string methods other than .lower()

this is a python work, i don't know how to do this, i need you help, thanks you very much!

Answer 1

get "val" as argument.

count = 1.0
pi=4.0
old=0.0
while ((pi-old>=val and pi-old>0) or (old-pi>=val and old-pi>0)):     
old=pi
count+=2
pi=pi-(4.0/count)
if(pi-old>=val and pi-old>0) or (old-pi>=val and old-pi>0):
old=pi
count+=2
pi=pi+(4.0/count)
  
print(pi);