Question

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

Answer 1

yes

Answer 2

if when subing in 0 you obtain and indefinite form

Answer 3

what is the definition of the formula then

Answer 4

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

Answer 5

take the derivative

Answer 6

until indeterm. form disappears

Answer 7

yes!!!

Answer 8

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

Answer 9

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