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Problem 10. We define a sequence {xn} in R by x1 = 1, Xn+1 = 1 1+ Xn Prove that {xn} is convergent and find the limit.

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nti Txn We haue to XniConvergent þroue that beiuence Put jet in uu e 2 O.5 2 Put n 0T 2 u - 2 o 62 CO 13 o 615 13616 +X 2 34 67 21t13 2 Cle as.bcaleulating terms of euene the that this equence is baunded can bee Aeater eause this seene12

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