Question

How do you do part b to question 3

Step 1

To investigate the existence of global extremum values of the function f(x) on the open interval (0,infinity)

Step 2

The essential point is that we are concerned with the values of f(x) on the OPEN interval (0,infinity). {to stress again, the point x=0 is not in the domain}. This is in contrast to the theorem that a continuous function has to attain maximum and minimum values on a closed , bounded interval . A continuous function on an open interval need not attain a maximum or minimum value . The given function f(x) defined on (0,infinity) is such a function,

Step 3

We will use 1) , 2) and 3) to show that f(x) attains ...

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