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Mathematics 21 Online
OpenStudy (anonymous):

Urgent help please. :) I'll give credits..

OpenStudy (anonymous):

\[\lim_{u \rightarrow1}\frac{( \sqrt[3]{u+7})-2 }{ 1-u}\]

OpenStudy (anonymous):

If you substitute 1 to the expression, the answer will be indeterminate.. (That's 0 over 0).. we need to rationalize the cube root.

OpenStudy (sburchette):

Specifically, substituting 1 yields 0/0. That makes this limit valid for using L'Hopital's rule.

OpenStudy (anonymous):

Yes.. that's indeterminate.. But a limit of type 0/0 may exist, and to compute the limit, we may use rationalization of expressions..

OpenStudy (sburchette):

Have you learned L'Hopital's rule yet? If not, then rationalization may be the best route to take.

OpenStudy (anonymous):

Not yet.. but can you help me in rationalizing the equation? :)

OpenStudy (sburchette):

Since we have a cube root in the numerator, we could try multiplying the numerator and denominator by \[\sqrt[3]{u+7}\]

OpenStudy (anonymous):

@hartnn @ParthKohli need help guys.. sorry for the disturbance.. :))

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