19

Part of 2020 LIMIT Category 1

Problems(1)

Comparing exponents and factorials

Source: LIMIT 2020 Cat 1 Obj P19

a=2019^{1009}, b=2019!

c=1010^{2019}

, then which of the following is true?
(A)

c<b<a

a<b<c

b<a<c

b<c<a

limitalgebrafactorial