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Grade: 12th pass
        
If S ={1/n : n is an element in the set of all natural numbers}.
Then prove that Infimum of S = 0
one month ago

Answers : (1)

Aditya Gupta
1669 Points
							
note that 1/n is a decreasing sequence in n. as n increases, the seq 1/n decreases. so, as the value of n becomes more and more large, 1/n becomes lower. so if we let n arbitrarily large, i.e, tending to infinity, we have
lim n tends to infinity 1/n= 0
which indeed is the infimum but not the minimum since it is unattainable.
kindly approve :)
one month ago
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