Vanderhoven:
As near as I can make out our purpose now is to live holy (displaying the fruit of the Spirit) lives to the glory of God. By faith, I accept that just as we have purpose here on earth, using our gifts to enrich self and others, God will further enrich us for roles/tasks in eternity.
Enriching ourselves and others is finite and at some point logically will be complete. You can only 'enrich' so far before you hit saturation point. Then once everyone reaches perfection and 'tears are no more' and God 'satisfies the desire of every living thing'.. there will be nothing else anyone can ever do for anyone else as you will be completely content and satisfied in every way.
What then?
As for 'tasks in eternity'
That work task is equated with some pretty life numbing and banal synonyms: job, duty, chore, charge, labour, piece of work, piece of business, assignment, function, commission, mission, engagement, occupation, undertaking, exercise, business, responsibility, errand, detail, endeavour, quest, problem, burden.
Sounds Like an eternity of elder given assignments. I can not imagine anything worse.
Tenacious:
I agree with Village Idiot in that, and this is considering planets and stars still, to this day, continue to be formed, we might eventually become space travelers exploring other planets, stars, and galaxies.
We are doing that already and so far they are all lifeless, cold and dead and unable to support any form of life.
We should also not forget that the Bible itself clearly contradicts this fantasy of space travel and galactic exploration.
Psalm 27:39
'And the righteous ones inherit the Earth and dwell upon it for eternity.'
The idea of never dying and living for eternity does have it's appeal but not for any of the reasons organised religion or fantasy theorists offer.