## anonymous 4 years ago FIND THE LIMIT LIM l 7H l / H H->0- HINT: EVALUATE THE QUOTIENT FOR SOME NEGATIVE VALUES OF H CLOSE TO ZERO.

1. Hero

$\lim_{h \rightarrow 0} \frac{|7h|}{h}$ Is that it?

2. anonymous

YES

3. anonymous

-7

4. Hero

Basically, you have to split it into two, but if h is approaching zero, then that means the limit doesn't exist

5. Hero

Because it will be approaching a different value from the left and a different value from the right

6. anonymous

its -7

7. Hero

Hmmm, okay

8. anonymous

i think i see why too

9. Hero

Why?

10. anonymous

H's cancel out leaving a 7 and then theres the negative sign given... idk

11. anonymous

That limit doesn't exist, Hero is right.

12. Hero

According to wolfram alpha (which is never wrong)... http://www.wolframalpha.com/input/?i=limit+as+h+approaches+zero+of+%7C7h%7C%2Fh

13. anonymous

Oh, wait, no, it's from the left, not the overall limit. -7 is right.

14. Hero

Oh.... yeah, I just saw it too

15. Hero

Good eye cinar

16. anonymous

it is approaching to zero on the left

17. Hero

Yeah, we know now...

18. Hero

Mario, find a better way to post your questions man

19. anonymous

thanks for the help everyone