Final answer:
A light microscope, particularly one with an oil immersion lens, is ideal for viewing living cells in the size range of 200 nanometers to 1 milliliter, as it offers the necessary magnification and resolution without harming the cells.
Step-by-step explanation:
The ideal microscope for viewing living cells that are between 200 nanometers and 1 milliliter would be a light microscope. Light microscopes use visible light to magnify and resolve the specimen, making them suitable for viewing living organisms.
They are generally equipped to handle magnifications of up to 400 times and have a resolution of about 200 nanometers, which fits well within the size range needed for the cells in question. For living cells, high-resolution light microscopy, such as with an oil immersion lens, can provide a magnification of up to 1000 times with a resolution of 0.2 micrometers (µm), allowing for detailed observation without damaging or killing the cells.