Mark all of the sequences that are monotonic. {sin(n²)}1 In(n) l n P (2) n=1 { n=1 [n² − 1] n² + 1 √n=1 {n¹/n}_1

Q: where does the N come out of? at 2t=n*pi

A:

Q: 8 5n²+3n+4 D. an 4nª+2n+2/n k =|

A: Given a sequence, an=5n2+3n+44n4+2n+2n8 To find a number k such that nkan has a finite non- zero…

Q: Derive formulas for the following sums in terms of n. Note your final formulas should only contain n…

A:

Q: Q1/ Generate and plot the following sequence over the indicated interval. Provide the scripts used…

A: We’ll answer the first question since the exact one wasn’t specified. Please submit a new question…

Q: Which of the following is a bounded sequence? 0 {1} O {n sin n} °{(-1)} {(−1)²+1_ non} cos n

A:

Q: Find the integral

A:

Q: Use |S – SN| <bN+1 to find the smallest value of N such that Sy approximates the value of the sum S…

A:

Q: lims where S₁₁ = (¹+2√7 ₁ + 3 n+2. S, n n n+1

A: L'Hospital Rule : If limf(n)g(n)=00 or ∞∞ form , then Differentiate f and g with respect to x,  and…

Q: - - 9. - [1.0001 x* H. Verify Let A 6 = the error %3D 1.0001 formula |r* – ô|| ||r|| < K(A)-

A: Let A=2112, b=33, x^=1.00011.0001, x*=11. Verify the error formula x*-x^x*≤KArb.

Q: Given that m is a positive integer and {D„} be the sequence with D = m and (Dn-1 + Dn-1 m D, = ,n >…

A:

Q: (b) Find the limit L of the sequence an = n° e° n+13 + n > 1 as n tends to infinity.

A: Topic:- limit calculus

Q: 2. Find the limit of the sequence an = (1 + 3n 2) ³″. n

A:

Q: (a) Find the least positive k E N such that 3* =10 1. (b) Using this k, prove: for all m e N, 3m =10…

A: (a) find the least positive k∈ℕ such that 3k≡10 1 b) using this k prove that : for all m∈ℕ 3m≡103m÷k…

Q: 6. The series 4(4) – 8(6) + 16(8)- 32(10) + 64(12) – 128(14) + 256(16) – 512(18) is represented by…

A: "Since you have asked multiple question, we will solve the first question for you. If you want any…

Q: Equating coefficients of a" to zero in the following series: E (n² + 1)a,a" +: an +nan = 0 n! n=0…

A:

Q: Mark all of the sequences that are monotonic. {} iS₁=1 {In(n)}1 {cos(n)}1 O {e"}1 ∞ [_n__1² n+1 n=1

A:

Q: Consider a positive integer 1 < i < 9. Then, given T(n) = 2T([n / 2] + i) + n, show that T(n) E O(n…

A: Given: T(n)=2Tn2+i+n The positive integer 1≤i≤9

Q: Use |S – SN| < bN +1 to find the smallest value of N such that Sy approximates the value of the sum…

A: According to the given information, it is required to find the smallest value of N such that SN…

Q: Find a formula for a, g'ven the fewlems of the sequence n

A: Given sequence is,

Q: 30 (a) Find the sum of 2k+1. k=2 (b) Show that if Re z < 0, then Je| <1 and find the sum of ) ek*.…

A: i have given the formulas that i have used in the step where i have used them

Q: If n > 1 is a composite number, then σ(n) > n+sqrt(n).

A: ⚫ For a given positive integer n, σ(n) denotes the sum of positive divisors of n. For example ,…

Q: Which of the following represents the general term of the sequence 2 1 3 5 6 12 20 30 42 56 7 9 ? 11…

A:

Q: п Find a formula for II (1- ) : and verify. k2 k=2

A: We will expand the terms and check which terms are getting cancel each other

Q: an = (-1)" η2 + 3 3η2 + 2n + 1

A: To determine if the sequence is convergent or divergent, we can examine its behavior as n approaches…

Q: Let x be a particular value of x². Find the value of such that the following is true. a. P(x² >x) =…

A: Note: Hi there! Thank you for posting the questions. As there are multiple sub parts, according to…

Q: Four balls are randomly selected, without replacement, from a bag that contains 10 balls numbered…

A: Given::- Four balls are randomly selected, without replacement, from a bag that contains 10 balls…

Q: n cos(n² + 3n + 4) ) n 1. The sequence {an}, where An has a convergent subsequence. n +1

A: