Yes Grumpy_Mike, I agree a Op Amp could be used. I also agree that PMW would be much better for controlling a LED.
runaway_pancake I have not tried your resistor-circuit. Had the back of my head cut today to get rid of skin cancer place. For that reason I have not done any circuits today.
You asked what the objective was--the last word. The objective is to learn how to control digital pots with Arduino. A worthy objective since a pot--voltage divider-- is a basic component in electronics. Yes, I know there are much better ways to fade a LED.
No you did not dump me. Yes you threw me a lifeline. No I am not looking a gift horse in the mouth---but I do appreciate your help. Probably the biggest help was when the person pointed out the current limitations of the POT being 2.5mA.
There have been ways presented on how to boost the wiper's output and stay within the 2.5mA current range. I appreciate everyone's help!