Protect yourself with the safety gear before you work with cement, as the chemical reaction once water begins to react with it will burn your skin if the cement contacts it. Lime increases the heat and intensity of the chemical reaction, reaching as much as 212 degrees Fahrenheit. This will burn your skin in an instant, so protect yourself accordingly.
Mix together an equal portion of cement and lime in a container until the dry components have blended completely. Add an equal amount of water and stir the concrete slowly with a low speed drill and paddle (under 300 revolutions per minute). Too much speed will whip air into the mixture, which will cause bubbles during the curing of the finished slurry coat. Achieve a paintlike consistency.
Paint the lime and cement slurry onto your damaged cement. Apply multiple coats if you need to fill in smaller cracks or a slightly crumbled area so that the slurry has time to soak into the area. Let the top coat dry for a few minutes until it hardens slightly.
Smooth the surface of your patched area with a flat trowel to finish the slurry off. Apply more slurry if you need to match an existing finish height that is slightly more than the patch, but always wait for it to dry slightly before smoothing it over so you smooth it rather than smear it around.