What is "perseveringly"

Usage examples of "perseveringly".

By a singular coincidence Auckland is situated on the self-same parallel-- the thirty-seventh--which the explorers had perseveringly followed since they left the coast of Araucania.

Bluetits may be famous for having figured out how to remove the silver foil caps from our early morning milk bottles, to find a creamy delight beneath, but I remember watching with amusement as one of our local bluetits swooped down upon a friend's Mercedes sports car parked in our driveway and perseveringly attempted to remove the central silver disc from the Mercedes logo on the front bonnet.