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It's possible to have an infinitive as the subject complement of a sentence. Here are some examples:
Our task is to defeat the enemy.
My goal is to lose 40 pounds.
His ambition was to rule the world.
Note that all these infinitives are forward-looking from the time of speaking. In sentences like these, the infinitive is used.
However, when the complement is not forward-looking, but refers to the present (even though it might also refer to the future), the -ing form is used more frequently.
Thus we have:
His greatest pleasure is playing with his grandchildren.