Hint: Find a Cauchy sequence of continuous functions that does not correspond to a function integrable by Riemann.
HOURS: TR 6:55-8:10 pm, Bravo 656
INSTRUCTOR:
Prof. Andrew Knyazev
Office: CU (Dravo) 644. Phone: 556-8102.
Office hours: Wed 3pm - 6pm (or by appointment)
WWW:
http://math.ucdenver.edu/~aknyazev
Email:
aknyazev@math.ucdenver.edu
HOMEWORK 2:
Prove that using of the (proper) Riemann integral is not enough
in the space
Hint: Find a Cauchy sequence of continuous
functions
that does not correspond to a function
integrable by Riemann.
If you want to have more fun, prove that using improper Riemann integral does not help. If you want to get to the top of this, prove that there is a bounded element of the space that does not correspond to a function integrable by Riemann.
Due Feb 25.