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What are some candidate functions f(x) that satisfy these conditions:

1. domain of f is R

2. image of f is (-1,1)

2. Smooth and continuous everywhere

3. first derivative undefined at x=0

4. f(x)-->1 as x--> inf

5. f(x)-->-1 as x--> -inf

Thanks

LR

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# What's this function ?

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