Skip to Content
PracticeProblems.org

Real Analysis

Collapse
All Real AnalysisSets and Logic FoundationsCardinality and CountabilityReal Numbers and CompletenessSequences and ConvergenceLimit Superior and Bolzano WeierstrassSeries and Convergence TestsLimits and Continuity of FunctionsUniform Continuity and Extreme Value TheoremsDifferentiation and Mean Value TheoremRiemann Integration and Fundamental TheoremSequences of Functions and Uniform ConvergencePower Series and Approximation TheoremsTopology of the Real Line
Weierstrass Approximation Theorem and Polynomial Convergence

Using the Weierstrass approximation theorem, find polynomials pnp_n such that pnp_n converge to a continuous function ff uniformly on the closed interval [a,b][a, b].

Sequences of Functions and Uniform ConvergenceMediumVideo