Not enough information to tell.
Two young mathematicians think about limits.
- Devyn
- Riley, I want to play a game!
- Riley
- Ok. What’s the game?
- Devyn
- I’m thinking of a function. You are trying to figure out the output value of my function when the input is .
- Riley
- So if I call your function , I win if I can guess , right? What information do I have to work with?
- Devyn
- Right! You can ask for the output values for three different input values that are not . Any other input is ok.
- Riley
- I’m in! What’s ?
- Devyn
- When the input is , the output is , so . That’s one value down, two more. What do you want to know next?
- Riley
- What’s ?
- Devyn
- I think I see your strategy. .
- Riley
- With my last value, I’ll ask for .
- Devyn
- . Was that enough information for you to guess ?