B. i. Prove directly from the definitions that if g : ℝ → [1, ∞) is a function so that limx → c g(x) = L, then limx → c [ 1 / g(x) ] = [ 1 / L ] ii. Prove the same result of the previous part, using Relating Sequences to Functions.
B. i. Prove directly from the definitions that if g : ℝ → [1, ∞) is a function so that limx → c g(x) = L, then limx → c [ 1 / g(x) ] = [ 1 / L ] ii. Prove the same result of the previous part, using Relating Sequences to Functions.
Chapter3: Functions
Section3.3: Rates Of Change And Behavior Of Graphs
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B. i. Prove directly from the definitions that if g : ℝ → [1, ∞) is a function so that limx → c g(x) = L, then
limx → c [ 1 / g(x) ] = [ 1 / L ]
ii. Prove the same result of the previous part, using Relating Sequences to Functions.
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