Study23 How do I find the limit of $$\ \Huge f(x) = xsin(\frac{\pi}{x}) ?$$. one year ago one year ago

1. Algebraic!

as x-> ?

2. Study23

Yes

3. Study23

I need to figure out from looking at a graph/table the limit of this function

4. Algebraic!

as x-> ?

5. Study23

I'm trying to find L from the rigors definition of a limit.…

6. Study23

*rigorous

7. Study23

Anyone?

8. Hero

x probably goes to infinity

9. dpaInc

I think what Algebraic! was asking is: the limit as x approaches what x value?

10. Study23

I'm not given that. I need to find the x value

11. dpaInc

but i thought you needed to find the limit?

12. dpaInc

* of f(x) ???

13. Study23

Maybe I phrased the question wrong... I'm not sure how to find the value that x approaches.

14. hartnn

it will be given in question. my best guess, x->infinity.

15. Study23

So like infinitely small? Ie. 1/.00000001 ?