def f(tol):
  g = lambda k: 1 + 1/k**2
  iterationCount = 2
  result = 2

  while True:
    prevResult = result
    result *= g(iterationCount)
    if result - prevResult < tol:
      return (result, iterationCount)
    iterationCount += 1

if __name__ == "__main__":
  result, iterationCount = f(0.01)
  print(f'Produktet ble {"{:.2f}".format(result)} etter {iterationCount} iterasjoner.')