At vero eos et accusamus et iusto odio dignissimos ducimus qui blanditiis praesentium voluptatum deleniti atque corrupti quos dolores et quas molestias excepturi sint occaecati cupiditate non provident, similique sunt in culpa qui officia deserunt mollitia animi, id est laborum et dolorum fuga.
Et harum quidem rerum facilis est et expedita distinctio. Nam libero tempore, cum soluta nobis est eligendi optio cumque nihil impedit quo minus id quod maxime placeat facere possimus, omnis voluptas assumenda est, omnis dolor repellendus.
Itaque earum rerum hic tenetur a sapiente delectus, ut aut reiciendis voluptatibus maiores alias consequatur aut perferendis doloribus asperiores repellat.

Get our expert's

answer on brainly

SEE EXPERT ANSWER

Get your **free** account and access **expert** answers to this and **thousands** of other questions.

I got my questions answered at brainly.com in under 10 minutes. Go to brainly.com now for free help!

Get this expert

answer on brainly

SEE EXPERT ANSWER

Get your **free** account and access **expert** answers to this and **thousands** of other questions

The limit is as r approaches 0+, but the answer is supposed to be 0 and I just can't prove it...

This is an indeterminate of the form 0^(0) so try using L'Hopitals Rule

my mistake its actually (-infinity)^(0) but still and indeterminate, so L'Hopitals should work

the answer is 0

does anyone want the method

yes please!

can nobody please explain to me how to apply de l'hopital to this? or any other method?

hello friend, it was my mistake. I thought it was r^2/ln(r^2)?

else the answer is infinity. I can explain you the L'hospital rule

If you get 0^0 form or 0/0 then you can differentiate the given function which is r^2*ln(r^2) here

when u find d/dr(r^2*ln(r^2) the answer is 2rln(r^2)+2r

this is again of the form 0^0 therefore u differentiate it again

so u wud get 2ln(r^2)+6 which is again log0=infinity, when r tends to 0

therefore u wud get an infinity

okay

but wouldn't the limit of 2ln(r^2)+ 6 be -infinity?

so u can again differentiate

yes but 50% of the time its -inf and the other 50% its +inf.. so which one is the right answer?

so ur answer is DNE

Thanks Dipin!

ur welcome