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Mathematics 6 Online
OpenStudy (anonymous):

Which function has a removable discontinuity?

OpenStudy (anonymous):

OpenStudy (anonymous):

it is the second one

jimthompson5910 (jim_thompson5910):

no, the second one doesn't have a removable discontinuity

OpenStudy (anonymous):

sorry i read wrong the question

OpenStudy (anonymous):

it's the third

jimthompson5910 (jim_thompson5910):

nope, not the third either

OpenStudy (anonymous):

hahaha why you didn't help this girl earlier so...

jimthompson5910 (jim_thompson5910):

well i don't want to just give the answer try factoring and seeing which factors cancel

OpenStudy (anonymous):

i got that.thanks

OpenStudy (anonymous):

i'll become a fan of u jim_thompson

OpenStudy (anonymous):

so, it would be the last one, then? (x+1) cancels out. Though, I don't know how to find removable discontinuity, so even if you were to find another example and show me - that'd be great! ><"

jimthompson5910 (jim_thompson5910):

no, the numerator in the last one doesn't factor

jimthompson5910 (jim_thompson5910):

so nothing cancels in the last one

jimthompson5910 (jim_thompson5910):

but look at the first one the denominator factors to x*(x-1) notice how the 'x' terms cancel leaving you with 5/(x-1)

jimthompson5910 (jim_thompson5910):

so the removable discontinuity is x = 0

OpenStudy (anonymous):

good answer jim

OpenStudy (anonymous):

Oh..

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