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 36 Best Fake Proofs? (A M.SE April Fools Day collection) 33 What are some conceptualizations that work in mathematics but are not strictly true? 29 How to solve this sequence $165,195,255,285,345,x$ 17 Problem 6 - IMO 1985 14 Prove that ${1\over2}<{1\over1001}+…+{1\over2000}<1$

Reputation (5,132)

 +20 Bounds on integer solutions to $w^2 - x^2 - y^2 - z^2 = m$ +10 Prove the absolute value function of a continuous function is continuous +10 what is the one point compactification of R? +10 A circular proof in Rudin that $\mathbb{R}$ is a field.

Questions (18)

 23 Evaluating $\lim \limits_{n\to \infty}\,\,\, n\!\! \int\limits_{0}^{\pi/2}\!\! \left(1-\sqrt [n]{\sin x} \right)\,\mathrm dx$ 11 Evaluate $\int _{ 0 }^{ 1 }{ \left( { x }^{ 5 }+{ x }^{ 4 }+{ x }^{ 2 } \right) \sqrt { 4{ x }^{ 3 }+5{ x }^{ 2 }+10 } \; dx }$ 6 What is the meaning of “independent events ” and how can we logically conclude independence of two events in probability? 6 A circular proof in Rudin that $\mathbb{R}$ is a field. 5 Trisecting a paper using hand and without using a ruler or compass [duplicate]

Tags (86)

 113 real-analysis × 52 40 limits × 16 91 sequences-and-series × 24 37 continuity × 14 90 calculus × 36 34 soft-question × 3 44 problem-solving × 4 33 examples-counterexamples 42 algebra-precalculus × 10 33 education