The series whose nth term isa)converges to the sum 0b)converges to the sum 1/2c)converges to the sum 1d)divergesCorrect answer is option 'D'. Can you explain this answer?

Question

Answer

Here it is given that

Now, taking auxiliary series

Which is finite and non-zero. Since, v_n is divergent.
Hence, t_n is also divergent.

Answer

D apply limit comparison taking as €1/n

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