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