Mathematics Interview Questions

326 mathematics interview questions shared by candidates

Prove for the following set of conditions that there is a subsequence f_k(x) that converges to a continuous function f(x): 1. f_k(x) is an infinite sequence of functions from the interval [0,1] to the set of real numbers. 2. The sequence is uniformly bounded, i.e. there exists some R<infty s.t. |f_k(x)|<R for all x,k. 3. The sequence is equicontinuous at every x.
avatar

Upper Level Mathematics Course Assistant

Interviewed at Harvard University

4.3
Mar 27, 2014

Prove for the following set of conditions that there is a subsequence f_k(x) that converges to a continuous function f(x): 1. f_k(x) is an infinite sequence of functions from the interval [0,1] to the set of real numbers. 2. The sequence is uniformly bounded, i.e. there exists some R<infty s.t. |f_k(x)|<R for all x,k. 3. The sequence is equicontinuous at every x.

Viewing 51 - 60 interview questions

Glassdoor has 326 interview questions and reports from Mathematics interviews. Prepare for your interview. Get hired. Love your job.