Continuous exertion may sound very exhausting and thus, it is understandable even if some people suggest it should be better to give up sometimes. It is true at some points because the human race is not almighty creature. However I would say it is not about giving up, but just changing a goal.
Recognizing life events as a sequence, I think even when giving up something, it is just adjusting the goal to more reachable level and processes for previous goals always play a role in reaching next goal.
In the first place, I would like to emphasize that this is not only about the youth becoming competent, but also about all the people making their own lives more comfortable and enjoyable. For instance, both following examples I present can be seen as continuous exertion: a young person trying to become a professional musician and a person on the verge of death exercising hands in order to move them better than the previous day.
If their goals are too high for them, the young person may have to change it to be working in a related field such as becoming a commentator, a voice trainer or so, and the dying person may have to change it to exercise fingers instead of hands. That is, people naturally keep trying in any case until the last minute they accept death.
Furthermore, there are also two advantages of indomitable attitudes. Firstly, some different approaches to a goal are necessary, other than blind efforts. Such a contrivance activates brain and makes human beings more alive. I don’t think it is exaggerative to say. Secondly, this attitude is also important when trying to achieve something extraordinary, because chances and right ideas do not always lie all together. Other chances and ideas never show up if it is given up. Totally different idea or better chances sometimes appear after groping in the dark.
From what I have been discussing above, there is no doubt about favourable influences of continuous exertion. Whether agree or disagree with the statement of this topic, people keep trying by nature and it does make us alive. When I have no energy left trying, I simply keep it on my mind so as not to miss any possibilities. In other words, it is possible to keep trying even when feeling like giving up. Thus, I strongly believe that we should never give up.