(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: 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 14n2 – 8n – 7 1 18 – n + 7n² . - - - n=1

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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 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: 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: 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: 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: 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: