Question

Use L'hopital rule , fan and medal

Answer 1

\[\lim_{x \rightarrow 0}\frac{ \left( lnx \right) ^{2}}{(x-1)^{2}}\]

Answer 2

have you tried to derive top and bottom?

Answer 3

i can't bcoz it should equal 0/0 or inf/inf to derive the top and bottom

Answer 4

that what l'hopital rule says

Answer 5

oh yeah... then idk, I am not good at this stuff -:(

Answer 6

john weldon probably knows....

Answer 7

@SolomonZelman thanks , @johnweldon1993 can u help me ?

Answer 8

@Abdulhameed halla habibi :)

Answer 9

You take the derivative of the top and the derivative of the bottom and then you plug in the limit that is given. If the limit still gives a l'hopitals case, you do it again.

Answer 10

@Boblovesmath halla bek :D

Answer 11

@Boblovesmath i know but it should equal 0/0 or inf/inf to do that and in this question it doesn't

Answer 12

Sorry just got back on this question lol...

L'Hopital cannot be applied here since "as you pointed out" it is not in indeterminant form

It would indeed have to be 0/0 or infinity times infinity

Answer 13

so if you plug in zero you should get the value of the limit..... You don't need to use l'hopitals, you only use when in intermediate forms.

Answer 14

@johnweldon1993 i know it cannot be applied so i have to do something to make it can be applied

Answer 15

That is because that IS the limit...this function approaches infinity as x approaches 0

Answer 16

then the limit of this function is infinity.....

Answer 17

ok thank u all for helping , and can u help me with another one

Answer 18

@Abdulhameed write the question and tag me in I will help you. :)

Answer 19

it's about l'hopital too