The first inequality means that the distance between x and c is greater than 0 and that x â  c, while the second indicates that x is within distance Î´ of c. Note that the above definition of a limit is true even if f(c) â  L. Indeed, the function f need not even be defined at c.
Once inside a hot water heater, however, Legionella bacteria multiplies and is conveyed through the household plumbing, where it may be inhaled in the aerosol mist that accompanies showering, bathing or even washing dishes in a sink. Very young children and elderly people are particularly at risk.
Hot tub rash is an infection of the skin (dermatitis) or of the hair follicles in the skin (folliculitis) acquired from contact with contaminated water. The infection occurs most commonly after swimming in hot tubs or spas, but contaminated swimming pools or lakes may also spread the infection. Most cases of hot tub rash are caused by the bacterium Pseudomonas aeruginosa, an organism abundant in nature and found in soil, water, and on plants. Hot tub rash usually begins with itchy skin or itchy bumps on the skin, which progress to form tender red nodules that may contain pus. Pus-containing sores are also commonly present around hair follicles.