(7pts) Fill in the five blanks to complete the argument below to approximate n! as a double inequality (a), (b), (c): 1pt, (d), (e): 2pts 3. Allowed key strokes: natural logarithm base ,e, In In' Let t In n! where In x means the natural logarithm of x. Observe k=1 Noting f(x) = ln x is monotonically increasing, find with the telescope method that t >(b) That is, use the fact that the area of the red boxes is greater than the area between f(x) and x-0. In 4. Then shift the red boxes to the right by distance 1, removing the last one. Now the area is smaller than that between f(x) and x-0, so As a result, achieving our goal. t