Hi!

One of my professors back in Iran used to say everybody by heart has an intuitive understanding of "epsilon-delta" definition of limit/continuity based on the following everyday life example: if you want to increase the amount of water coming out of a water faucet by epsilon, you know that there is delta that if you turn the faucet by delta you get epsilon change in the output. This I guess everybody has experienced specially adjusting water temperature in shower where usual relationship between amount of output water and how much you need to turn is not linear/uniform but nevertheless always continuous.