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The function $\"f\"$ has vertical asymptote at $\"x=0\"$ .

The vertical asymptote is a line of the equation toward, which a function $\"f(x)\"$ approaches infinity.

Consider the piece wise function $\"f(x)=\\left\\{\\begin{matrix}$ .

In this case the function has vertical asymptote at $\"x=0\"$ , but the function is defined at $\"x=0\"$ .

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The statement is false.