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Mathematics 17 Online
OpenStudy (anonymous):

infinite limits question about how to demonstrate work

OpenStudy (anonymous):

(x^4+x^5) lim x-> -infinity

OpenStudy (anonymous):

my first thought was to factor out x^4

OpenStudy (anonymous):

are you sure the question is correct

OpenStudy (anonymous):

\[x^4(1+x)\]

OpenStudy (anonymous):

i mean there are no denominators and numerators ?

OpenStudy (anonymous):

nope

OpenStudy (anonymous):

oh wait

OpenStudy (anonymous):

i wouldnt even have to do that

OpenStudy (anonymous):

if thats the case, then you can do much here, what you have done is absolutely correct , simply put x= - infinity

OpenStudy (anonymous):

your answer should be - infinity or DNE

OpenStudy (anonymous):

\[-\infty^4+-\infty^5 = \infty + (-\infty)\]

OpenStudy (anonymous):

=0?

OpenStudy (anonymous):

no i meant x^4(1+x) is correct, then you can say that as x approaches - infinity, the limit approaches to -infinity

OpenStudy (anonymous):

you CAN NEVER SAY the answer is 0,

OpenStudy (anonymous):

We do not know infinity, and -infinity as well, so can never call it 0

OpenStudy (anonymous):

does that help?

OpenStudy (anonymous):

ok

OpenStudy (anonymous):

yep sure does

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