Question

For what values of n is n! less than 2^n?
Justify your answer.

Answer 1

n! = 1*2*3*.......*n

yes ?

2^n= 2^1 or 2^2 or 2^3 or ..... or 2^n

yes ?

so then you try calculi

1*2=2
2^2 =4 so 2<4

1*2*3 =6
2^3 = 8 so 6<8

1*2*3*4=24
2^4 = 16 so now 24>16

Answer 2

ok ?

Answer 3

yup got it thanks :D