# the Real numbers and Real Analysis

**Question description**

Let I non-empty set of R be an open interval, let c be an element of I and let f: I-{c}--->R be a function. Suppose that f(x) does not equal 0 for all x be an element of I-{c}, and that lim as x--->c that f(x)=0. Prove that lim x--->c that 1/f(x) does not exist.

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