Tag Archives: qualifying exam

Winter 2004 #4

Problem Statement: Suppose that is differentiable on the bounded interval . Suppose further that there is a constant such that for every . Show that exists and is finite. Note: When I read this question the first time I thought the … Continue reading

Posted in Analysis, Cauchy, Continuity, Differentiable, Math, MVT, Sequence, Uniform Continuity | Tagged , , | 4 Comments