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Q.

If  x1=3  and  xn+1=2+xn,  n≥1,  then  limx→∞  xn  is

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a

-1

b

2

c

5

d

3

answer is B.

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Detailed Solution

=xn+12+xnor        limn→∞  xn+1=2+limn→∞xnor        t=2+t                    limn→∞  xn+1=tor        t2-t-2=0or        t-2t+1=0or        t=2                                  xn>0∀n, t>0
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