Wrong limits



Dear All,

Take the code:

(%i1) h:-(k^(k/(k-1))*(2*k-1)*2^(k/(k-1)))/((k-1)*(k*2^((2*k)/(k-1))-2^((2*k)/(k-1))-2*k+1))$

(%i2) limit(h,k,1/3,plus);
                                      log(3)
                                      ------
                                        2
                                  3 %e
(%o2)                             -----------
                                  160 sqrt(2)
(%i3) limit(h,k,1/3,minus);
                                      log(3)
                                      ------
                                        2
                                  3 %e
(%o3)                             -----------
                                  160 sqrt(2)
(%i4)

Both limits are wrong: the first one is +oo and the second one is -oo.
Can one really trust Maxima regarding the calculation of limits?

Thanks in advance,

Paul