tmua.me Extreme Set A Paper 2 · Question 16

Consider the inequality

a^n<1+n(a-1).

Which of the following statements are true?

There exists a positive integer $n$ for which the inequality holds for every real number $a<-1$ .
For every real number $a<-1$ , there exists a positive integer $n$ for which the inequality holds.
For every real number $a<-1$ , there exists a positive integer $N$ for which the inequality holds for every integer $n\ge N$ .

ANone of them

BI and II only

CII and III only

DII only

EI, II and III

examday