Exercise 2.2.10 (Challenging): Let {xn} be a convergent sequence such that xn ≥ 0 and k = N. Then 1/k xn)¹/K. Hint: Find an expression q such that 1/k 1/k lim xn = lim Xn \n→∞⁰ n→∞o -xl/k Xn-X = 1/1

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Exercise 2.2.10 (Challenging): Let {xn} be a convergent sequence such that xn ≥ 0 and k = N. Then
1/k
xn)¹/K.
Hint: Find an expression q such that
1/k
1/k
lim xn = lim Xn
\n→∞⁰
n→∞o
-xl/k
Xn-X
=
1/1
Transcribed Image Text:Exercise 2.2.10 (Challenging): Let {xn} be a convergent sequence such that xn ≥ 0 and k = N. Then 1/k xn)¹/K. Hint: Find an expression q such that 1/k 1/k lim xn = lim Xn \n→∞⁰ n→∞o -xl/k Xn-X = 1/1
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