Describe what it means for a vector-valued function r(t) to

klytamnestra9a

klytamnestra9a

Answered question

2021-11-23

Describe what it means for a vector-valued function r(t) to be continuous at a point.

Answer & Explanation

Kevin Hunt

Kevin Hunt

Beginner2021-11-24Added 20 answers

Step 1
A vector valued function r(t) which is continues at a point, describes the fact that the limit of the vector valued function at that the given point is equal to the value of the vector valued function at that point. That is,
limtar(t)=r(a) Step 2
Also,
A continuous vector valued function at a point represents the fact that the component functions of the vector valued function are also continuous at the given parametric point.

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