Question

hello I am trying to understand why the limit of as x->0 from the right for (lnx)/(sinx) is -infinity

Answer 1

use l'hosptitals rule

Answer 2

I am I just dont undesrtand how you get that answer

Answer 3

the top gives me 1/x and the bottom cos x
which is still undetermined at the top

Answer 4

that equals 1/xcosx

Answer 5

i get that part but how does that end up being negative infinity

Answer 6

as ln(x) approaches 0 we go to negative infinity

as sin(x) approaches 0 we go to 1

Answer 7

the graph of ln(x) as it approaches 0 drops down and down and down and never touches 0....it goes to -inf.

Answer 8

got it thank you

Answer 9

yay!! :)