Question

Determine the limit vector of as t -> 1. r(t)=<√(t-1 ),t^2+e^t,(t+1)/(t-1)>
I got Lim = <0,1+e,DNE>

Answer 1

Since this asks for the limit of r(t) as t approaches 1. does one components limit not existing mean the limit of the entire function as t approaches 1 does not exist?

Answer 2

define limit vector

Answer 3

as t-> 0 , or r ' (t) ?