Question: " How to evaluate a limit when the form is indeterminate? "
Handy trick for computing a lot of limits: If you come across an expression that seems to equal
0/0 when you plug in some input, just take the derivate of the top and buttom expressions and plug in that troubled input. This clever trick is called "L'Hopital's rule". Interestingly it was actually discovered by Johann Bernoulli but L'Hopital was a wealthy dude who essentially paid Bernoulli for the rights to some of his mathematical discoveries. Yep! apparently academia was kinda weird back then. |
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