n! >2^ for Gll n34 E Prave.

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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Please Prove
n! >2^ for
Gll 034 E Prave.
Transcribed Image Text:n! >2^ for Gll 034 E Prave.
Expert Solution
Step 1

We will use method of mathematical induction to prove the given inequality statement

n! > 2n  for all  n4

  • first we will show the inequality holds for initial value n=4
  • second we will assume that inequality holds for initial value n=k>4
  • finally we show that inequality holds for initial value n=k+1

 

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