evaluate the limit

Question

evaluate the limit as x approaches 0 from the positive side for: ((sin (11x))/(sin(sqrt x))=?

Answer 1

use L'hopital's rule

separately take derivatives of numerator and denominator

as plugging in x=0 first leads to 0/0 an indeterminate undefined form

keep trying, but if it doesn't work

lim x approaches 0 of sin11x/sinsqrx DNE, Does Not Exist