Question: If I1 I2 In is a nested sequence of intervals and if In = [an; bn], show that a1 <

If I1 ⊂ I2 ⊃ ∙ ∙ ∙⊃ In is a nested sequence of intervals and if In = [an; bn], show that a1 < a2 < ∙ ∙ ∙ < an < ∙ ∙ ∙ and b1 > b2 > ∙ ∙ ∙ bn > ∙ ∙ ∙.

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