Working in the early 1600s, the mathematicians Wallis, Pascal, and Fermat were calculating the area of the region under the curve y = x^p between x = 0 and x = 1, where p is a positive integer. Using arguments that predated the Fundamental Theorem of Calculus, they were able to prove that

Use what you know about Riemann sums and integrals to verify this limit.

Transcribed Image Text:

п- k Σ lim p + 1° n→∞ N k=0\N