1. The problem statement, all variables and given/known data Hi everyone this is my first time here - I'm completely confused not so I thought I may as well ask complete stangers for help! the question is.. Determine whether the following limit exists. If so, find its value. lim [sin(x^2+y^2+z^2)] / (x^2+y^2+z^2)^1/2 x,y,z-->(0,0,0) 2. Relevant equations sin x/x = 1 3. The attempt at a solution ok this is my idea.. if i let t=x^2+y^2+z^2, the limit should be like.. lim (sin t) / (t^1/2) apply L'Hospital rule, (cos t) / (t^-1/2) = t^1/2 cos t am i right? t=0.. so... (cos t) / (t^-1/2) = t^1/2 cos t = 0^1/2 cos 0 = 0 ok.. how am i going to proceed?