Urgent help please. :) I'll give credits..
\[\lim_{u \rightarrow1}\frac{( \sqrt[3]{u+7})-2 }{ 1-u}\]
If you substitute 1 to the expression, the answer will be indeterminate.. (That's 0 over 0).. we need to rationalize the cube root.
Specifically, substituting 1 yields 0/0. That makes this limit valid for using L'Hopital's rule.
Yes.. that's indeterminate.. But a limit of type 0/0 may exist, and to compute the limit, we may use rationalization of expressions..
Have you learned L'Hopital's rule yet? If not, then rationalization may be the best route to take.
Not yet.. but can you help me in rationalizing the equation? :)
Since we have a cube root in the numerator, we could try multiplying the numerator and denominator by \[\sqrt[3]{u+7}\]
@hartnn @ParthKohli need help guys.. sorry for the disturbance.. :))
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