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Precalculus 22 Online
OpenStudy (anonymous):

find the limit of y=lim approaching infinity of ((x^n)/1+x^n) when -1

OpenStudy (anonymous):

what is y?

OpenStudy (anonymous):

something wrong with this question a typo maybe what is going to infinity? \(x\) ?

OpenStudy (anonymous):

this is the question \[ \lim_{x \rightarrow \infty} \frac{ x^n}{ 1+x^n }\]

OpenStudy (anonymous):

then how is -1<x<1.?

OpenStudy (anonymous):

good question!

OpenStudy (anonymous):

the limit would be 1 since the degree of the numerator is equal to the degree of the denominator

OpenStudy (anonymous):

for this question i need to find limits for each case of x where \[x \neq -1\]

OpenStudy (anonymous):

|dw:1371606049207:dw| this is when n>1.

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