locally path connectedness While studying covering spaces , hatcher mentioned the "shrinking wedge of circles" this space is locally path connected as I was told , but I wasn't able to prove it nor to see it, it looks like comb space to me which is not locally path connected , can anyone help me prove it locally path connected ? I appreciate your help 

The shrinking wedge is a union of circles, all through the origin. The only problem to local path connectedness can be at the origin. But a typical nbhd of that point is a union of circle arcs trough the origin, which is arc connected (any point there is connected to the origin by the arc it is contained in). 
