The question asks to find the limit (x,y) -> (0,0) and this is the function:
so i tried approaching (0,0) from y=cx and i get this:
but im not quite sure where to go from here??
an explanation would be greatly appreciated
The question asks to find the limit (x,y) -> (0,0) and this is the function:
so i tried approaching (0,0) from y=cx and i get this:
but im not quite sure where to go from here??
an explanation would be greatly appreciated
This may not be correct in the slightest so please don't take my word for it
First of all you made a slight mistake it should be
so
(you can just cancel the x^2's
(the taylor expansion of sin is probably unnecessary!)
hence as x goes to 0 (and so y goes to 0 along the line y=cx) the limit approaches 0 for