Alright. So Ill show what Ive tried to do so far and hopefully someone can help me wrap it up. So using 'hospitals rule...

lim sinxlnx

x-> 0+

so I took 2 approaches but came to a halt both ways

FIRST WAY:

lnx/(1/sinx) = FORM infin/infin

so then limit equals

= (1/x)/(-cotx cscx)

dont know where to go from here

SECOND WAY:

sinx/(1/lnx) = FORM 0/0

limit

= cosx/lnx^2

now im stuck again

Yes, this post seems messy.

So, how would I go about fully solving this problem