Compute the following limits (Use l'Hopital's rule):

x tends to 0

(i) lim (a^x - 1)/x , where a > 0;

(ii) lim [log(1 + ax)]/x , where a > 0;

(iii) lim (1 - cosx)/x^2

May you please check my answers?

Answers: (i) ln(a); (ii) a; (iii) 1/2

Thanks