learning Maxima

In my attempt to learn Maxima I tried the following:

(%i26) limit(sum(1/k,k,1,n),n,inf);
                                               n
                                             ====
                                               \     1
(%o26)                         limit     >    -
                                 n -> INF /     k
                                              ====
                                                k = 1


(%i27) limit(sin(x)/x,x,0)
;
(%o27)                        1
(%i28)

the second limit is what I expected sin(x)/x is 1 when x=0 but the first 
limit I was also expecting an numerical answer. What did I do wrong?

Doug