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Fabian — Person Summaries

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Real Analysis Live - Problem Solving - Series and Convergent Criteria

The Bright Side of Mathematics · 2 min read

A live real-analysis problem session zeroed in on two core skills for series: proving convergence/divergence with comparison and then, when possible,...

Series ConvergenceComparison TestPartial Fraction Decomposition

Real Analysis Live - Problem Solving ( check problem sheet here: https://tbsom.de/live )

The Bright Side of Mathematics · 3 min read

The session’s core takeaway is a practical toolkit for real analysis: before differentiating anything, lock down where the function is actually...

Domain CheckingQuotient RuleTaylor Polynomial

Real Analysis Live - Problem Solving - Continuous Functions (Problems here: https://tbsom.de/live)

The Bright Side of Mathematics · 2 min read

A piecewise “rational vs. irrational” function can look wildly discontinuous everywhere—yet still be continuous at a single point. The stream’s first...

Continuity at a PointPiecewise FunctionsFixed Points