Thread: maxium at a point

17. Define by f(x) = 1/(1 + x2). Prove that f has a maximum and find the point at which that maximum occurs.

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Originally Posted by lacy1104

17. Define by f(x) = 1/(1 + x2). Prove that f has a maximum and find the point at which that maximum occurs.

Thanks

Since





Thus f(x) is bounded above by 1(its also the lub and hence the maxima).
We also see that maxima occurs at 0.