cassieforlife5 one year ago Help me with limits question!!

1. cassieforlife5

|dw:1444030458720:dw|

2. anonymous

|dw:1444031242714:dw|

3. cassieforlife5

so you can cancel out the x^2-c^2 and you're left with 1/(x^2+c^2) is that the final answer?

4. Jhannybean

No,.

5. Jhannybean

You haven't taken the limit yet :)

6. cassieforlife5

do I have to substitute in any number not 0 for c?

7. Jhannybean

$\large \lim_{\color{red}{x\rightarrow c}} \frac{1}{x^2+c^2}=~?$

8. Jhannybean

See the highlighted portion? That's what you're replacing x with.

9. Jhannybean

rather than replacing let's say you're substituting. Replacing sounds horrible.

10. anonymous

thats a continuous function, for c not equal to zero therefore lim x->c f(x) = f(c)

11. cassieforlife5

1/(2c^2) ?

12. Jhannybean

$$\checkmark$$

13. cassieforlife5

Thank you so much to both of you guys!!