Example: l'Hôpital's Rule
Some problems provide the opportunity for more than one mistake.
The Goal
Determine
Mistake 1
Find the mistake:
(Roll the mouse over the math to see a hint in red)
(The notation "l'H" above the equals sign indicates a step at which l'Hôpital's rule is claimed to be used)
Correction 1
(Roll the mouse over the area above to see the corrections in blue)
Mistake 2
Find the mistake:
(Roll the mouse over the math to see a hint in red)
Correction 2
(Roll the mouse over the area above to see the corrections in blue)
Explanations
In the first mistake the derivative of the denominator is computed incorrectly.
In the second mistake the substitution to compute the limit is incorrect (perhaps x=0 was substituted).
Take care to do the simple things correctly.
