1.

There exists a function f(x) satisfying : f(0)=1,f(1)=-(1)/(e),f(x)gt0 for all x and :

Answer»

`f''(x)GT0` for all x
`-1ltf'(x)LT0` for all x
`-2lef''(x)lt-1` for all x
`f''(x)lt-2` for all x.

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