Choose the letters of the sequences that are bounded. {sin(n³}" A. n=1 00 in B. In n=2 C. n=1 D. fne~}. {ne-rt n=1

Q: 18. Which of these sequences is/are not bounded? I. a, = (-1)", n> 1 А. II only В. I only С. П only.…

A: Option (C) is correct. II only.

Q: 27 Find (all) the value(s) of c such that ) 3c²n 8. %3D - n=0 (A) c= 3 (В) с 3 4 (C) c = - (D) c = }…

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Q: Find the n" term a, of a sequence whose first four terms are given. 9 10 11 -- -- 4' 8' 12' 16

A: Given:-84,-98,-1012,-1116,....

Q: n E(-1)* k + k)"-1, n2 1. k=0

A: The given value of ∑k=0n-1knkkm=0. The main objective is to detemine the value of ∑k=0n-1knk2+kn-1.…

Q: The bounded interval of the following sequence ( where n is natural number *:) is 2 sin?(3n)

A: According to the given information it is required to find the bounded interval of the following…

Q: 7. Given the family of intervals F = {A_n|neN} such that A_n (1-1/n, 1+1/n) cR, what is the supremum…

A: Given An = 1-1n, 1+1n

Q: 3. Assume the sequence of positive numbers (sn) increases monotonically to infinity. Prove that Sn+1…

A: Let Sn be a sequence of positive numbers sn increase monotonically to infinity. ⇒limn→∞sn=∞     ∵ sn…

Q: . Let an = sin sin for n eN = {1, 2, 3,...}. n+1 (a) Determine if the sequence {an}n=1 converges or…

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Q: When creating a Riemann sum, what is the width of an approximating rectangle on [-24.1, 156.7], if…

A: When creating a Riemann sum, what is the width of an approximating rectangle on [-24.1,156.7], if we…

Q: If X~N(3,16) then P(4<X<8)= 0.8944 (0.2957 0.5987

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Q: ... at verifies the identity. OC. B. sin 9x cos 7x - cos 9x sin 7x = sin (9x – 7x) = sin 2x sin 9x…

A: Given query is to find the correct option to prove the identity.

Q: For which values of p does 00 converge? n=1 (14em) (Give your answer as an interval in the form…

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Q: Find the limit of the sequence (/3, /3/3,/3/3/3. 3 Divergent IT 1 O O O O O O O

A: 0⁰Pp⁰

Q: Write a rule for the nth term of the sequence where ag 21 and d=-3. =

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Q: Which of the following is O O 8 8 5 (4,00) To enter ∞o, type "oo". Enter the interval Enter the…

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Q: find the functions with the following Maclaurin series

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Q: 50. A sequence a, is defined inductively as a, = v3 and a41 = /3 + a, ,Vn 2 1. Find the limit %3D of…

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Q: 7. Given the family of intervals F = {A_n|neN} such that A_n (1-1/n, 1+1/n ) c R, what is the %3D…

A: according to our guidelines we can answer only three subparts, or first question and rest can be…

Q: . Which of the following sequences are eventually monotone (or strictly) in- creasing (or…

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Q: For each n E N= {1,2,3, ..}, define an (A)-cOs (규1). = COS COS n+1 1. Determine whether the sequence…

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Q: 29. What is the 10th term of the harmonic 4 4 4 4 sequence 13’11’9’7'' ? ... [A] -5/4 [В] -4/5 [C]…

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Q: Limit Type Tier Expression Notes Examples = n" = n! Convergence Two examples Super Large N/A among…

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Q: Let Xn=cos пл 2 then limit supremum of the sequence is

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Q: -5/7-3x with two intervals 36/5 and 19/5

A: For two Intervals  (36/5, 19/5) For X= 36/5 The Value of given expression is,

Q: Please no written by hand and no emage Let {Dm} be a non-increasing sequence of events. Verify that…

A: Here, the sequence  { Dn} is monotonous non- decreasing or expanding sequence of events. In this…

Q: 1) In order to use the integral test, we must verify that the sequence is decreasing (and positive…

A: We have to test series is convergent or divergent

Q: A sequence a, is defined inductively as a1 of an if an < an +1 Vn 2 1. A.글 (1± v13) B. (1– V13) C.…

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