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a real sequence xn is defined inductively by x1 =1 and xn+1 = sqrt(xn +6) for every...

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Advance Math

a real sequence xn is defined inductively byx1 =1 and xn+1 = sqrt(xn +6) forevery n belongs to N

a) prove by induction that xn is increasing andxn <3 for every n belongs to N

b) deduce that xn converges and find its limit

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