Can L'hopitals rule be applied to multivariable limits?(is there a definition that works with multiple variables)

Question

anonymous · Answer

yes

anonymous · Answer

if when subing in 0 you obtain and indefinite form

anonymous · Answer

what is the definition of the formula then

anonymous · Answer

take the limit of each separate component in vector is that what ur askin

anonymous · Answer

take the derivative

anonymous · Answer

until indeterm. form disappears

anonymous · Answer

yes!!!

anonymous · Answer

I do not quite understand.. .how can you apply l'hopitals rule to multivariable calc when you can only find partial derivatives due to xy

anonymous · Answer

for example two variables x and y are there in the limit to be evaluated.  and if the limit approaches 0/0 as x tends to 0. just partial differentiate wrt to x