23-34 - Limits of Sequences If the sequence with the given nth term is convergent, find its limit. If it is divergent, explain why. 1 +n 5n 24. a. -23. а, n +5 n+ n n 25. a, = 26. a. = n' + 1 n+1 (-1)" 27. а, 28. a. 3" 29. a, = sin(n7/2) 3[ n(n + 1) 30. а, — соs пт 31. a. 2 n(n + 32. a. 2 24[ n(n + 1)(2n + 1)] 33. a, 6. 12 34. a. n(n + 1 2

Q: 30. а, 2 1+ %3D - n

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A: Let X=C0, 4, with the usual notation and suppose X is endowed with the norm,…

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A: To write out the first five terms of the sequence with 1-7n+7nn=1∞, to determine whether the…

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Q: (-1)") 55. 2"

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A: Given sequence tn=23(2)n-1. To get the first three terms we put n=1,2,3 in the given expression.

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A: We only solve one problem at a time so please submit the next question separately which you want to…

Q: 17. Σ 7-1 3.5 (2n-1) 5"n!

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Q: 33. Use the Squeeze Theorem to prove (sinn/n} c) {3"/n!} b) fn/2"} f by contradiction. a)

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Q: 2n 18. а, 1+ %3D n

A: Note: