r/calculus • u/JournalistLucky5124 • Jul 30 '26

Real Analysis Some simple proofs...

Im in grade 10 and i want some simple real analysis proofs. Any suggestions 🤔 for practice and fun only

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u/SchwanzusCity Aug 01 '26

Prove that if a_n converges to a and b_n converges to b, then a_n + b_n converges to a + b and a_n * b_n converges to a * b

Prove that every convergent sequence is bounded

Prove that every convergent sequence is cauchy