\text { Let } f(x)=\frac{1}{|x|+1} f(x) – f(0)x – 0Show algebraically that f is not differentiable at 0, by showing that lim does not exist. (Hint: Calculate the left- and right-handed limits separately.) ) Use a calculator or computer to graph f(x), and explain how the fact that f'(0) does not exist is reflected in the graph of f.

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