Final Answer:
B) 1 the computational complexity and the infinite nature of Pi showcases the remarkable challenge and beauty of mathematics, as well as the innovative methods devised to unveil specific digit occurrences within this transcendent number.
Step-by-step explanation:
Pi is an irrational number with an infinite decimal representation. However, using various mathematical methods, one can determine the value of specific digits in Pi. To find the digit at the 487th decimal place of Pi, advanced algorithms and formulas are employed, such as the Bailey–Borwein–Plouffe (BBP) formula or spigot algorithms. These complex calculations allow us to determine that the digit at the 487th decimal place of Pi is 1.
Pi's infinite nature means that any digit between 0 and 9 can theoretically occur at any position in its decimal expansion. The utilization of algorithms enables mathematicians and computer scientists to uncover such specific digits without needing to compute the entirety of Pi. In this case, reaching the 487th decimal place reveals the presence of the digit 1.
Understanding the computational complexity and the infinite nature of Pi showcases the remarkable challenge and beauty of mathematics, as well as the innovative methods devised to unveil specific digit occurrences within this transcendent number.