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)

first, how can i prove that the limit is exist?

i'm thinking of to get the above limit to be something like

[sin (x)]/x = 1

or..

should i use quotient rule..?

hope that someone can guide me solving this question..