anonymous 4 years ago determine the limit algebraically, it it exists PICTURE TO FOLLOW

1. anonymous

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2. anonymous

humm...i believe you do the LCD of this fraction, then plug in the limit once you simplify...

3. anonymous

im still confused

4. Mertsj

$\lim \frac{\frac{1}{x+5}-\frac{1}{5}}{x}\times\frac{5(x+5)}{5(x+5)}=\frac{5-(x+5)}{5x(x+5)}=\frac{-x}{5x(x+5)}$

5. Mertsj

$\lim \frac{-1}{5(x+5)}$ Now take the limit by replacing x with 0

6. anonymous

-1/25?

7. anonymous

correct. so with limits, all you have to do is simplify the fraction, then when you cant simplify anymore, plug in your limit for whatever variable you have and that should be your answer. with limits at infinity its a bit different, but no worries, you can conquer those too!

8. anonymous

alright thanks you guys!

9. anonymous

no worries man