Question

What value does ln(x)/(x-1) approach as x -> 1?

Answer 1

1 if i see it right

Answer 2

You get 0/0. Apply L'hospital's rule and take a derivative of top and bottom.
That gives:
(1/x)/1=1/x as that so:
the lim x->1 (ln(x)/(x-1))=lim x->1 (1/x)=1

Answer 3

you can use L'Hopitals rule since we have a 0/0 form

Answer 4

yep it's 1

Answer 5

whoops, my bad. l'hopital's rule is right.

Answer 6

yeah what everyone else said... :)

Answer 7

general hospital said so ;)

Answer 8

I can do it up in latex to make it look nicer if need be. :P

Answer 9

i think im allergic to latex ....

Answer 10

... you would xD

Answer 11

that is your next book: differential equations 3 with latex

Answer 12

mathmatical models of imaginary domains :)

Answer 13

openstudy should send you one instead of the bike. maybe at 2000?

Answer 14

functions of an almost complex variable

Answer 15

openstudy aint sending me squat.... i got me name on a twitter..yay!!

Answer 16

non reimannian hypercubes and a semi differentiable manifold

Answer 17

now your just trying to turn me on :)

Answer 18

HAHAHAHA GET IT ;)