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If fis a continuous function, what can you say aboutlimx→1f(x)?

Short Answer

Expert verified

It can be concluded that there is no hole in the graph of the function atx=c.

Step by step solution

01

Step 1. Given Information.

A continuous function is given.

02

Step 2. Conclusion.

A function fis continuous at x=cwhenever f(c)is defined, fhas a limit asx→cand the value of the limit and the value of the function agree. This guarantees that there is not a hole or jump in the graph offatx=c.

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