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Mathematics 17 Online
OpenStudy (anonymous):

limits involving infinity....

OpenStudy (anonymous):

\[g(x)= 1/8-(5/x ^{2}) a. x \rightarrow \infty b. x \rightarrow -\]

OpenStudy (anonymous):

er? where's the limits?

OpenStudy (anonymous):

find the limit of each function as x goes to +/- infinity

OpenStudy (anonymous):

\[\lim_{x \rightarrow \infty}\frac{1}{8}−\frac{5}{x^2}\] \[\lim_{x \rightarrow -\infty}\frac{1}{8}−\frac{5}{x^2}\]

OpenStudy (anonymous):

do I first separate the equation? why is there no 1 in the numerator of the 5/x^2?

OpenStudy (anonymous):

remember \[\lim_{x \rightarrow \infty}\frac{1}{x}=0\] \[\lim_{x \rightarrow \infty}\frac{1}{x^2}=0\]

OpenStudy (anonymous):

1/8-0? =1/8

OpenStudy (anonymous):

looks like it

OpenStudy (anonymous):

okay..thank you

OpenStudy (anonymous):

i must add \[\frac{5}{x^2}=5*\frac{1}{x^2}\]

OpenStudy (anonymous):

So, 1/8-0*5(0)=1/8?

OpenStudy (anonymous):

are you asking a question, or just confirming the limits just equal 1/8 because you're subtracting 0

OpenStudy (anonymous):

just confirming

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