Answer
Cells can not grow to unlimited sizes because, once they reach a certain size, they are unable to carry out functions, such as eliminating waste or exchanging nutrients, that allow them to survive.
Work Step by Step
When a cell grows, its volume increases more than its surface area. Thus, while the volume of the cell increases, it produces more waste to be released, and requires more nutrients to be exchanged, but its surface area is not large enough to keep up with these functions. Besides, cells that are too large have a larger probability of rupturing.