What is the limit as x approaches 0 of #(1-cos(x))/sin(x)#? Calculus Limits Determining Limits Graphically 1 Answer Jim H Mar 7, 2018 The limit is #0# Explanation: #lim_(xrarr0)(1-cosx)/(sinx) = (lim_(xrarro)(1-cosx)/x)( lim_(xrarr0) x/(sinx)) # # = (0)(1) = 0# 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 35372 views around the world You can reuse this answer Creative Commons License