Hello, the question is:
limit t-->0+ (cos(t), sin(t), tln(t))
(the limit as t approaches 0 from the right)
(This is not for the original poster. Do not confuse yourself. This is just for fun for other posters).
Directly by definition.
We want to show,
Ignore the minus sign for now. Now try to show that .
Let be small enough so that we are working on the interval .
Now, on because on . Thus, .