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But you absolutely can evaluate that limit as N goes to infinity and correctly conclude that 1/3 does equal 0.333 repeating.
by baddox 6y ago
But you absolutely can evaluate that limit as N goes to infinity and correctly conclude that 1/3 does equal 0.333 repeating.
- ball_of_lint 6y agoRepeating decimals may be introduced in a mathematics education long before any other infinite series or the methods used to tame them, such ass limits.
- polotics 6y agoI see the introduction of a conceptually incomplete notion as one of the big hurdle of school-level math: without limits, children are asked to just adopt the axiom that there is such a thing as a concept of infinity with any form of practical usefulness, and this riles. It's only with limits and proper formalism that I was reconciled with maths that frankly were just tending towards approaching an equality with bullshit.