K: SP18-8 t limit of x to infty 1/X-1 Find the limit of the sei * Consider the s

Question

K: SP18-8 t limit of x to infty 1/X-1 Find the limit of the sei * Consider the sequence -cho 3.pdf A sequence a n an is d MAA OF AMERICA sp1 12-3153/c11s1c11s2 15 c11s1c 11s2: Problem 15 Prevous Proben Prodlem List Next Proden (1 point) A sequence an is defined by ai-1 and an +1 = 4/(6 + an) for n Hint: Refer to Example 13, page 683 of the text. 1 . Assuming that the sequence an converges, find the number which is its limit. Your overall recorded scoe is 0%. You have unlimited attempts remaining.

Explanation / Answer

Since sequnce is convergent, we must have

L(6+L) = 4

L² +6L- 4=0

using Quadatic formula,

L= -3 -13, -3 +13

Since sequnce is a positive, hence

L= -3+13

Thus, limit of sequnce is

-3+13

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