What's surprising (to many) is that

n! < exp(n log n)

▲ Someone 2 hours ago | parent | next [-]

> What's surprising (to many) is that

> n! < exp(n log n)

Why would that be surprising? I can see that many wouldn’t know whether it’s true, but

  exp(n × log n) =
  exp(log(n) × n) =
  exp(log(n))^n =
  n^n

and it’s not surprising that

    1 × 2 × 3 × 4 × … × n
  < n × n × n × n × … × n

for n > 1

	▲	emil-lp 2 hours ago \| parent [-]
		I don't know why that is surprising, but I'm teaching computer science at a university, and students seem surprised every time it comes up.

▲ 2 hours ago | parent | prev [-]

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