2. [20 points] A vector function in 3-dimensional space is given as fol- lows: −→r (t) = 〈 sin(2t) t , t ln t, t √2 − t 〉 (1). [10 points] compute lim t→0 −→r (t) if it exists or explain why it does not exist. (2). [10 points] Find the interval of t on which the function is con- tinuous.