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GATE | Gate IT 2007 | Question 74
Consider the sequence <xn>, n>= 0 defined by the recurrence relation xn + 1 = c . xn2- 2, where c > 0.
Suppose there exists a non-empty, open interval (a, b) such that for all x0 satisfying a < x0 < b, the sequence converges to a limit. The sequence converges to the value?
(A)
(1 + (1 + 8c)1/2)/2c
(B)
(1 - (1 + 8c)1/2)/2c
(C)
2
(D)
2/(2c-1)
Answer
Please comment below if you find anything wrong in the above post
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