9. Prove or disprove: The inequality 2¹ ≥ x + 1 is true for all positive real numbers x.

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
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questions 9 and 10 please. Thank you

9.
10.
Prove or disprove: The inequality 2ª ≥ x + 1 is true for all positive real numbers x.
Prove Vn € N,
1
1
+
NIT
2
+
113
+
+
2n
1
|-
+
≥1+
n
2
Transcribed Image Text:9. 10. Prove or disprove: The inequality 2ª ≥ x + 1 is true for all positive real numbers x. Prove Vn € N, 1 1 + NIT 2 + 113 + + 2n 1 |- + ≥1+ n 2
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