Are the following statements true or false? If true give a proof, and if false give a counter-example: (a)Consider a continuous function f : (0, 1) → R and a Cauchy sequence Xn ∈ (0, 1).Then f(Xn) is also Cauchy. (b)If Xn

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Q: Are the following statements true or false? If true give a proof, and if false give a…

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A: First option is true by definition only.

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A: To evaluate the following limit. limy→2 6y2-18y2y-13

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A: Used the definition of continuity.

Q: prove

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