The correct answer is A. wavering.
A wavering person is someone who is not sure of what they want or who changes their mind easily. They may be indecisive or fickle. A persistent person, on the other hand, is someone who is determined and does not give up easily. They are often described as being strong-willed or tenacious.
The other options are not antonyms of persistent.
B. obstinate: An obstinate person is someone who is stubborn and refuses to change their mind, even when presented with evidence that they are wrong. They may be described as being pig-headed or headstrong.
C. enduring: An enduring person is someone who is able to withstand difficult or challenging situations. They may be described as being strong or resilient.
D. steady: A steady person is someone who is calm and reliable. They may be described as being level-headed or even-tempered.