Limit Question: Simplifying Complex Functions with L'Hopital's Rule

[transgalactic]

the question and how i tried o solve them
in
http://img206.imageshack.us/img206/8/84758564bu8.gif

i tried lhopital
but its a complex function derivative nightmare

is there an easier way?

 

[tiny-tim]

the question and how i tried o solve them
in
http://img206.imageshack.us/img206/8/84758564bu8.gif

i tried lhopital
but its a complex function derivative nightmare

is there an easier way?

it's not a nightmare … you just have to be careful

(and remember you can ignore anything that's gong to end up with a bare tanx or sinx factor the thrid time)

alternatively, you could try using the expansion √(1 + x) = 1 + (1/2)x + (?)x² + (?)x³