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48. (3) Suppose that 2 an and 2b,. are series with positive terms and E b is convergent. Prove that if then 2a,, is also

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48. (3) Suppose that 2 an and 2b,. are series with positive terms and E b" is convergent. Prove that if then 2a,, is also convergent. (b) Use part (a) to show that the series converges. I lnn (i) 2 3 (ii) 2(1 cos1;) "=1 R n=l n

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