Limit as x approaches 0 of #ln(sin(x))#? Calculus Limits Determining Limits Graphically 1 Answer Jim S May 27, 2018 #lim_(xto0)ln(sinx)=-oo# Explanation: #lim_(xto0)ln(sinx)# Set #sinx=y# #x->0# #y->0# #=lim_(yto0)lny=-oo# Answer link Related questions How do you find #lim_(x->5)(x^2+2)# using a graph? How do i graph limits? How do you find limits on a graphing calculator? How do you use a graph to determine limits? What is the limit as x approaches infinity of a constant? What is the limit as x approaches infinity of #6cos(x)#? What is the limit as x approaches infinity of #1.001^x#? What is the limit as x approaches 0 of #x/arctan(4x)#? What is the limit as x approaches 0 of #cotx/lnx#? What is the limit as x approaches 0 of #(1+2x)^cscx#? See all questions in Determining Limits Graphically Impact of this question 31062 views around the world You can reuse this answer Creative Commons License