2. Let a1, a2, a3,... be a Cauchy sequence of positive numbers. For n = 1,2,...

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2. Let a1, a2, a3,... be a Cauchy sequence of positive numbers. For n = 1,2, 3, ..., let b, = sin(a) + Ta. Prove that b1, b2, b3, ... is a Cauchy sequence by checking the definition of Cauchy sequence. 2. Let a1, a2, a3,... be a Cauchy sequence of positive numbers. For n = 1,2, 3, ..., let b, = sin(a) + Ta. Prove that b1, b2, b3, ... is a Cauchy sequence by checking the definition of Cauchy sequence.

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