Calculus 3 Timed Quiz 1

Definition (Limit of Vector-Valued Functions) Suppose the component functions , , and of the vector-valued function



all have _____________    ____________  as , where is any real number or ________. Then the limit of as is the vector

Definition (Continuity of Vector-Valued Functions) A vector-valued function is ______________ at means is in the _____________ of and .

Definition (Derivative of a Vector Function) The ____________________ of a vector function is the vector function defined as the limit



provided this limit _________.

Definition (Smooth Curve) The ___________ of the vector function defined by is _______________ on any interval of where is ____________________ and ________.

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