How do you determine whether r(t) = f(t) i, g(t) j, h(t) k

Chapter 13, Problem 8E

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QUESTION:

How do you determine whether \(\mathbf{r}(t)=f(t) \mathbf{i}+g(t) \mathbf{j}+h(t) \mathbf{k}\) is

continuous at t = a?

Questions & Answers

QUESTION:

How do you determine whether \(\mathbf{r}(t)=f(t) \mathbf{i}+g(t) \mathbf{j}+h(t) \mathbf{k}\) is

continuous at t = a?

ANSWER:

Solution 8E

Step 1 of  2:

Definition; A function f is continuous at x = a , then

  1. The function f  is defined at  a.
  2. The limit of f as x approaches a from the right hand and left hand limits exist and are equal .
  3. The limit of f as x approaches a is equal to f(a).

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