## callahancfoose Group Title determine the limit algebraically, it it exists PICTURE TO FOLLOW 2 years ago 2 years ago

1. callahancfoose Group Title

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2. malexander Group Title

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

3. callahancfoose Group Title

im still confused

4. Mertsj Group Title

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

5. Mertsj Group Title

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

6. callahancfoose Group Title

-1/25?

7. malexander Group Title

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. callahancfoose Group Title

alright thanks you guys!

9. malexander Group Title

no worries man