Explore BrainMass

Explore BrainMass

    Weierstrass Approximation Theorem

    Not what you're looking for? Search our solutions OR ask your own Custom question.

    This content was COPIED from BrainMass.com - View the original, and get the already-completed solution here!

    This question is about the Weierstrass Approximation Theorem

    Show that the Approximation Theorem does not hold if we replace I by R(real number system), by showing that if f(x) = e^x for all x, then f:R->R cannot be uniformly approximated by polynomials.

    © BrainMass Inc. brainmass.com November 24, 2022, 11:38 am ad1c9bdddf

    Solution Summary

    The Weierstrass Approximation Theorem is analyzed as it pertains to an exponential function. The solution is detailed and well presented.