第1697题：可利用二项式定理证明
设 m,n∈N+m,n \in N^+m,n∈N+ ,且m>nm>nm>n , 则一定有( ).
A.(1+1n)n>(1+1m)m (1+\dfrac{1}{n})^n>(1+\dfrac{1}{m})^m(1+n1)n>(1+m1)m
B. (1+1n)n<(1+1m)m(1+\dfrac{1}{n})^n<(1+\dfrac{1}{m})^m(1+n1)n<(1+m1)m
C. (1+1n)m<(1+1m)n(1+\dfrac{1}{n})^m<(1+\dfrac{1}{m})^n(1+n1)m<(1+m1)n
