(a) (b) Find the limit of the following sequences or show why they diverge. In(5n6) 1 7n-1 +n8 8n³ + 2n +9 3n - 4n³

Q: The limit of the sequence a.- (1+ (a) - (3) e) (c)e None(e)

A: This is 1 to the power infinity form question so accoding to that I wrote the formula to Solve this…

Q: 3. Write a recursive algorithm of the sequence t(1)=-1 and t(n)=5x t(n-1)+n² as a function.

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Q: 8n2 + 1n + 1 an 7n2 + 9n + 9

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Q: for Define a sequence xn recursively by the rules x1 = 2, x2 = 6, and xn = 3xn-1 – 2xn-2 30, and so…

A: We use strong induction. The detailed answer is presented in typeset form below.

Q: Find the limit of the sequence V2,, 2v2, 2, 2V2,

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Q: Find the limit of the sequence 14n2 – 8n – 7 1 18 – n + 7n² . - - - n=1

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Q: (a) Let n EN. Determine the set of all integers which leave a remainder n+1, n+2, n+3 when divided…

A: PART A As it is given that 2n+1, 2n+3, 2n+5 are consecutive odd integers so they are pairwise…

Q: What is the rule for this pattern? (figure 1 is 1 block) Of(x)=n+2 Of(x) = 2n Of(x)=n-1 Of(x) = 2n-1

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Q: Find the limit of the sequence: 5n2 + 6n + 7 an 8n2 + 9n + 8

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Q: Find the limit of the sequence as n approaches infinity: In 1 an 2n + 2

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Q: Find the convolution of the two finite-length sequences: x(n) = 2ō(n + 3) + ō(n) + 2ō(n − 2) + (n −…

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Q: Find the limit of the sequence ´ 4n³ – 8n² – 7 1 18 – n + n4 - n=1

A: We need to find the limit of the following sequence. So,           limn→∞ 4n3-8n2-718-n+n4=limn→∞…

Q: 3x2 Q1/ A/ Expand with binomial formula: (1- * Q1/B/ Find the value of G? -15 3- 36 = [4 -6 4 -13 -4…

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Q: Given is a sequence bn defined in recursive form 1 A * = (-+ ^^) bn - n-1 2 bn-1 for a given A> 0.…

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Q: P1. In the binomial expansion of (2-3) written in terms of descending power of X, find; a the th…

A: Explained below

Q: In the following list, select all the correct expressions if G(x) is the generating function of the…

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Q: Find the limit of the sequence; {an}n21 if: 1+2/2+3/3+.+n/ñ An choose one alternative as an answer:…

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Q: Find the limit of the sequence: 3n? + 9n + 9 An 2n2 + 2n + 1

A: To find:-

Q: (c) Find the term independent of x in the expansion of, 15 2 +

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Q: 3. Write the first four terms of the expansion of the following functions In (1-2r) (b) 1+

A: write the first four terms of the expansion of the following functions 1) fx=ln1-2x1+x…

Q: Find the limit of the sequence {(₁+ 3 n+ 5 2n S

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Q: 2. (a) Given that (2 + x)" (1-x)" =+ pa³+qx²+7x+s, determine the values of P.4.9, and s. (b) Without…

A: Step 1: Step 2: Step 3: Step 4:

Q: In(n+24)158 In(103+12 n)200 The sequence is and its limit is

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