4 ms·
I explained this as: Take a number, e.g. 5. Then take a small number, like 0.1. Add 0.1 to itself, and repeat, you'll eventually reach 5. But if you take 0,
by jkent 18y ago
I explained this as:
Take a number, e.g. 5.
Then take a small number, like 0.1.
Add 0.1 to itself, and repeat, you'll eventually reach 5.
But if you take 0, and keep adding 0 to it, you'll never reach 5. So no amount of 0's will go in to 5.
That logic breaks down if you do 0/0 though. My students never picked up on that one but they believed me!
- etal 18y agoPicturing the graphs of y = 1/x and y = cx/x worked for me. You can make the "reasonable" value at x=0 be Inf, -Inf, or anything in between.