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Let c ER and lim f²(x) = L, where L Є R. х-с 1. Prove: if L = 0, then lim f(x) = 0. x c 2. Prove: if L 0, then lim f(x) may not exist in R.

Let c ER and lim f²(x) = L, where L Є R. х-с 1. Prove: if L = 0, then lim f(x) = 0. x c 2. Prove: if L 0, then lim f(x) may not exist in R.

Elementary Geometry For College Students, 7e
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ISBN:9781337614085
Author:Alexander, Daniel C.; Koeberlein, Geralyn M.
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Let c ER and lim f²(x) = L, where L Є R. х-с 1. Prove: if L = 0, then lim f(x) = 0. x c 2. Prove: if L 0, then lim f(x) may not exist in R.
Transcribed Image Text:Let c ER and lim f²(x) = L, where L Є R. х-с 1. Prove: if L = 0, then lim f(x) = 0. x c 2. Prove: if L 0, then lim f(x) may not exist in R.
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