The discussion revolves around evaluating the limit of the expression (cubicsquareroot(x) - 2)/(x-8) as x approaches 8. The subject area involves limits and potentially the application of L'Hôpital's rule in calculus.
Some participants have confirmed the correctness of the original poster's approach, while others suggest that additional substitutions could enhance clarity. There is an acknowledgment of the potential application of L'Hôpital's rule, although some believe it is unnecessary for this problem.
There is a mention of the original problem being revised to a different form involving a limit as p approaches 2, which indicates a shift in the approach being discussed. The conversation also highlights some confusion regarding terminology and assumptions about the function involved.
NATURE.M said:Homework Statement
lim (cubicsquareroot(x) - 2)/(x-8)
x→8
Homework Equations
The Attempt at a Solution
I obtained 1/12 as my final answer, after changing the variable since its in indeterminate form.
..let p=cubicsquareroot(x), then as x→8, p→2
then, p^3=x
Using this logic I obtained 1/12.
Is this correct ?
PrashntS said:Precisely, Although It'd be nicer if you had done some substitutions.. Yeah is correct!
SammyS said:What's a "cubicsquareroot" ?
L' Hopital's Rule is not needed in this problem.PrashntS said:My bad! you have! And when you reach L'Hopital's rule, revisit these questions..