I think the answer is more to do with surface area to volume ratio. If a single celled organism increases its size (surface area) by a scale of 2, the volume inside this cell will not increase proportionally, it will increase by a factor of (for example) 4. This is a problem for single celled organisms since they don't have the transport mechanisms that we humans have, for example they don't have a circulation system to transport oxygen and food products. Instead they absorb all the materials they need to through their cell membranes, from their environment. Since the volume of the cell (the bits that need the materials) has increased more than the surface area (the bits that absorb the materials) the cell can't get enough of these materials to satisfy its needs, and therefore will die.
So there is a limit to how big the cell can be, because at a certain point, the volume of the cell will be too large for the surface area.
So there is a limit to how big the cell can be, because at a certain point, the volume of the cell will be too large for the surface area.