What happens when you multiply something infinitely small by something infinitely large? Just about anything, as Example 6 presents the indeterminate form 0·∞ metaphorically as a numerical tug-of-war. Duration: 6:32

When confronted with an indeterminate product, you must decide whether to rearrange your limit into 0/0 or ∞/∞. Example 7 will model the cognitive gymnastics required to make that decision. Duration: 5:28

Our next indeterminate form takes on the guise of a deceptively adorable kitten face. While one might think that ∞ – ∞ approaches zero, a litter of kittens disagrees using their depthless hungry eyes and pleading whimpers. Watch out for those tiny talons; they're like ten daggers on the cusp of a thousand cuts. Duration: 7:19

Finally, we have indeterminate powers, which reveal that just about anything could happen if you raise one to an infinite power, as Euler knew well. Duration: 10:15

Now let's review Example 10 and summarize our endless list of indeterminate forms. Duration: 10:14