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• Problem 4. Define L: (0,00) - R as (ze (0.00)). (a) Let I < a < b. Show that D) L(a) 2 6-4, (Hint: inf{1/t : t e 1 L(b
Posted: Thu Apr 28, 2022 6:37 am
by answerhappygod
- Problem 4 Define L 0 00 R As Ze 0 00 A Let I A B Show That D L A 2 6 4 Hint Inf 1 T T E 1 L B 1 (438.3 KiB) Viewed 42 times
• Problem 4. Define L: (0,00) - R as (ze (0.00)). (a) Let I < a < b. Show that D) L(a) 2 6-4, (Hint: inf{1/t : t e 1 L(b L(x) == ; %& ) . (b) Show that L is strictly increasing on [1,00). (c) Show L(2) > 1/2. (d) Show, using induction that, for all n e N, L(2") = nL(2). (e) Show for every k > 0, there exists some R 1 so that for all 3 € (1.c), if R$ r. then k < L(2).