Infinite Limits

### 1.1 Infinite Limits

Consider the function $$f$$ defined by the equation $f(x)=\frac {1}{(x-1)^{2}}$ The graph of this function is illustrated in Figure 1.1.1.

Note that $$f$$ is not defined at $$x=1$$ (division by zero is not defined), but let’s consider the values of $$f$$ when $$x$$ is close to $$1$$. Letting $$x$$ approach $$1$$ from both sides, the corresponding values of $$f$$ are given in the following table.

 $$x$$ $$f(x)$$ 0.5 4