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Below is an "oracle" function. An oracle function is a function presented interactively. When you type in an value, and press the --f-- button and the value appears in the right hand window. There are three lines, so you can easily calculate three different values of the function at one time.

x f(x)

Note: The computer will round your inputs above to places and will return the function value at the rounded -value.
For example, entering will result in the computer checking the function at and returning exactly rather than a number necessarily near as .

Determine the limits for the function as approaches .




Are all of these values the same? . If so then the function is continuous at

Are the left and right limits the same at ? . If so then this function is almost continuous and could be made continuous by redefining one value of the function namely .

You can earn partial credit on this problem.