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Solved: In exercise, graph the function ƒ to see whether
Chapter 2, Problem 50E(choose chapter or problem)
PROBLEM 50E
In exercise, graph the function ƒ to see whether it appears to have a continuous extension to the origin. If it does, use Trace and Zoom to find a good candidate for the extended function’s value at x = 0.If the function does not appear to have a continuous extension, can it be extended to be continuous at the origin from the right or from the left? If so, what do you think the extended function’s value(s) should be?
Questions & Answers
QUESTION:
PROBLEM 50E
In exercise, graph the function ƒ to see whether it appears to have a continuous extension to the origin. If it does, use Trace and Zoom to find a good candidate for the extended function’s value at x = 0.If the function does not appear to have a continuous extension, can it be extended to be continuous at the origin from the right or from the left? If so, what do you think the extended function’s value(s) should be?
ANSWER:
SOLUTION
Step 1 of 3
Here, we have to find whether the function has a continuous extension to the origin and if it has it, then what is the extended function's value at .
If it does not have a continuous extension then can it be extended to be continuous at the origin from the right or from the left and find the extended function’s value.
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