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Mathematics 19 Online
OpenStudy (anonymous):

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OpenStudy (anonymous):

OpenStudy (anonymous):

take the limit as x goes to zero of the expression, and then define \[f(0)=\text{ that number}\]

OpenStudy (anonymous):

Can you show me the proper way to solve it? I kept getting the wrong answer, maybe I just didn't understand.

OpenStudy (anonymous):

ok hold on let me look

OpenStudy (anonymous):

add up the fractions to get \[\frac{4(x-5)-3x+20}{x(x-5)}=\frac{x}{x(x-5)}=\frac{1}{x-5}\] so if x = 0 you get \[-\frac{1}{5}\]

OpenStudy (anonymous):

that is your limit, and that is the answer to what \[f(0)\] should be

OpenStudy (anonymous):

Ahh, I was pretty close! Thank you very much. I appreciate it.

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