lim n→∞ n i=1 8 ( 2 + -+-) ² / / 1 n n

Q: lim [(n+1)(n+ 2)...(n+n)]/" n

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Q: 36x12. -1. Provide appropriate 6x6 –1 (b) Find the least integer n such that f(x) is O(x") for ƒ(x)…

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Q: 5n Find lim nxx 7n+1

A: L=limn→∞5n7n+1

Q: lim s n where s₁ = 1, and S n+1 = (1 – = -)Sn n+31 for n ≥ 1.

A: We first evaluate the first few values of the sequence

Q: 7х + 12 lim x→3 х — 3

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Q: 6n2 + 3n = 3 2n2 – 5 Prove: lim

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Q: For any positive integer n, prove that summation d divides n t(d)^(3) = ( summation d divides n t(d)…

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Q: Q\ Find the infimum and supremum of the sequence (a„)nen = (n(1 +(-1)") + n='((-1)" – 1). nƐN

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Q: Show that when |z +1| < 1,z² =1+£(n +1)(z+1)" n=1

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Q: n √n II k=1 lim √n n1x 2k 2k + 1 = ?

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Q: The president of a major housing construction firm reports that the number of construction jobs (in…

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Q: Select one:

A: Given, limx→∞x3-5x+43x4-3

Q: 21 Answer: If t=3.5n +4.5, find t₁, t t₁ = 8,1₁0 39.5 = t -t H n+1 n 85 is ▾ GRADE ANSWER = tt 10'…

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Q: The value of n such that ph pn-1 || 553,5 ,n> 4 is 15.

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Q: Solve for t in B=Numerator x+y over the denominator t+z

A: The given equation is,

Q: lim (n22n) / n! = ?

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Q: 4(-1)" Σ 3) Estimate 2N 1 correct to one decimal place. N-1

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Q: The formula 00 1 2 3"z", 1- 3x n=0 is valid for -3 < x < 3 1 1 3 3 -1 < x < 1 -00 < x < ∞

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Q: Prove that x" dx „n+1 + C, n + 1 for n + -1.

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Q: (prore) using sequences とす、

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Q: Let n E N* and a, BE R. 1 a. The sequence B (T-4)"-a is neither increasing nor decreasing b. The…

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Q: lim x→−12    x2 + 25− 13/ x + 12

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Q: The Sum the Seafes Š ED" is @n+1)3" (a) 6V3 (6) of thes none 253 () (e) 716

A: The given series is: ∑n=0∞ (-1)n(2n+1) 3n

Q: 3. What is the degree of the polynomial? * 6x +2-7x* +x' - x O 1 4 O 10 2. O O O

A: Highest power of variable x in polynomial is called degree of polynomial