For Arbitrary Real Number 1 0 And Natural Number N 1 We Define 1 21 N Sup Y Ry 0 And Y X Let R Y 0 B 1 (42.63 KiB) Viewed 9 times
Can you explain Q3 and Q4 clearly ?
= for arbitrary real number 1 >0 and natural number n > 1 we define (1) 21/n := sup{Y € Ry> 0 and y" <x}. let r, y > 0 be positive 0 real numbers and n, m > 1 be natural numbers. Prove the following statements. Q3: (a) 21/" is a positive real number. (b) We have 1 > y if and only if r/n > yl/n. Q4: (a) If > 1 then NƏn H+x1/n is a decreasing function. (b) If < < 1 then NƏn x1/" is an increasing function.
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