Calc L'Hopital's rule question, picture attached.

Question

anonymous · Answer

attachment

anonymous · Answer

Okay, first of all, did you try substitution?

anonymous · Answer

Because it looks like substitution may work.

anonymous · Answer

Substitution gives 0/0, which allows L'Hopital's. But I'm screwing up somewhere

anonymous · Answer

Okay, I'm also guessing this isn't a calculator question.

anonymous · Answer

I mean I could put it into wolfram alpha. (... the answer is 30) but I don't understand how to get there

asnaseer · Answer

Have you tried using L'Hopital's rule?

asnaseer · Answer

You will have to apply it around 3 times before you get the limit

anonymous · Answer

I tried but I think sadly I screwed up somewhere hahahah

asnaseer · Answer

Why don't you list your steps so that I can spot where you may have made a mistake

anonymous · Answer

10(1-cosx)+10x(sinx)  /   1-cosx   for the first go around

anonymous · Answer

10(sinx+sinx*xcosx/sinx)     second go around

asnaseer · Answer

2nd round looks incorrect

anonymous · Answer

Okay cool thanks! Let me try again

asnaseer · Answer

your numerator has a "*" where there should be a "+"

anonymous · Answer

10(sinx+sinx+xcosx)/cosx?

anonymous · Answer

Whoops sinx* on bottom

asnaseer · Answer

yup - so one more round to go...

anonymous · Answer

10(cosx+cosx+cosx+x(-sinx)/cosx)? :D

asnaseer · Answer

yup - you should have the answer now :)

anonymous · Answer

Yep 30! Awesome :) thanks!

asnaseer · Answer

yw :)