We live with continuity, but we do discontinue sometimes.
When our daily life function gets irrupted, we tend to stop. It's the decision we make that decides either we go up from this point on or we go down.
Derivatives, the short cut we know doesn't work. Not even limits. It can't deal with this seemingly impossible one-sided-limit-doesn't-equal-the-other situation. Now we are back to the most basic thing, that one glitch in life that we have to discover which is completely different from everything else.
Are we going to cry a little? Maybe.
Are we going to ask for help? Possibly.
In the end, we would somewhat come up with a possible solution, and let it go.
In the end, nothing matters. When you look back at the ripples in your life, it's so small that we forget sometimes, how much we have tried and tried. The less failures you remember, the more genuine those ripples are.
Happiness is sometimes gained through breaking the limits, and continuity. It is not just being comfortable. If mankind were comfortable all the time, Canada wouldn't be discovered. It is one little glitch, that mankind evolution started. We develop, and we jump over those discontinuities and go upwards, against the wind.
I can't possibly address the issue with becoming an adult with all kinds of problems we have to deal with, the fact that we are going to stop and do those discontinuities. It's not that we are all what we've got. It is what You Don't Know makes you move forward, not just in math problems, but in life, with a cautious and courageous mind, with a little hope for the sparks of new ideas generate within our limited mind, with nothing comparable to what mankind knows.
Back to the problem, we would move on from the discontinuity, and go back to our life. It might suck for a bit, but we will be functioning normally again, and again, and again.