Q.

Which of the following results is valid

1 (1+x)n>(1+nx) for all natural numbers n  
2 (1+x)n≥(1+nx) for all natural numbers n, where x>-1  
3 (1+x)n≤(1+nx) for all natural numbers n  
4 (1+x)n<(1+nx) for all natural numbers n  

Ans.

(2)