Final answer:
In physics, the potential of a finite uniformly charged rod approaches that of a point charge at large distances. Truly renewable energy sources can be limited or unlimited depending on factors such as resource availability. Function limits may not exist due to discontinuities, divergence, or double values.
Step-by-step explanation:
Regarding the limit of the potential of a finite uniformly charged rod as x approaches large values (denoted as x → L), the potential V tends to that of a point charge. This result is expected because when an observer is very far from the charged rod, the distribution of the charge appears to be at a single point, similar to a point charge.
Regarding the fundamental limits of truly renewable energy sources, the scale can vary. Some are finite due to factors such as land availability, while others are not limited because they rely on continuous natural phenomena. The nature of the limit depends on the resource in question.
As for the prescribed mathematical or physical function limits, they may not exist if the function has discontinuities, is double-valued or diverges, meaning the function cannot be normalized or it approaches infinity or has undefined behavior at certain values.