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lyudmila [28]
3 years ago
12

Use the given graph to determine the limit, if it exists.

Mathematics
1 answer:
tester [92]3 years ago
7 0
Well, check the graph.

notice the "holes" on each line, it means that point is not part of the line, notice the dot down below at (2,1), meaning when x = 2, f(x) = 1.

now, a limit, is something the "x" is approaching to, it may never get there, but for a limit that doesn't matter, what matters is that, the value is approaching is ever consistent, though it may never get there.

as "x" comes from the left, notice, f(x) is, 4 and then 4 and 4 again and again 4 and again 4, so the one-sided-limit from the left is 4, even though at x = 2 it drops down.

as "x" comes from the right, f(x) is, -1, and then -1, and -1 and -1 again, and -1 again, so the one-sided-limit from the right is -1.
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