Task 10 Apply the Monotone Convergence Theorem to give a modern proof that lim (1 + 1/j)' exists. j -+00 We now have a modern justification of the constant e as e = lim (1 + 1/j). You may recall from j -+ 0o introductory calculus courses that Euler was correct with the series expansion (4) for e. A modern justification of this series expansion for e is beyond the scope of this project