Question: Please help me to solve all this questions. 15. Determine whether the following series converge or diverge. Indicate the test you use. = 1+sin'k (a)

Please help me to solve all this questions.

15. Determine whether the following series converge or diverge. Indicate the test you use. = 1+sin'k (a) ) k ot 1 (b) Z n +2n =0 16. Determine whether the series ZJ:[%} ( %} ] converges or diverges. If it converges, find its sum. " 17. Determine whether the series Z convcrgcs conditionally, or converges n= [J-,j_ absolutely, or diverges and give reasons for your conclusions. n X 18. Find the interval of convergence for the power series > S n=0 j1 + 3 g' =1 19. Use substitution method and a known power series to find power series for Please express your answer in one sigma notation

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