OCR MEI AS Paper 1 2021 November — Question 4

Exam BoardOCR MEI
ModuleAS Paper 1 (AS Paper 1)
Year2021
SessionNovember
TopicProof

4
  1. Show that \(4 ! < 4 ^ { 4 }\).
  2. Nina believes that the statement \(n ! < n ^ { n }\) is true for all positive integers \(n\). Prove that Nina is not correct.