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A real number x satisfying 1- (1/n) = 3 + (1/n), for every positive integer n, is best described by =

🗓 Feb 26, 2022

Answer is "0 < x ≤4"

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Richa - IIT 🌐 India
If n = 1, then 0 < x ≤ 4
when the value of n increases from 1 to infinity, the range of x approaches (1 < x ≤ 3).
So, the lower limit of x increases from almost 0 (to almost 1), while the higher limit decreases from 4 (to 3).
Thus, the lowest possible limit of x will be > 0 and the highest possible limit will be &le; 4.
For all ranges of n, 0 < x ≤ 4
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