It would tend towards infinity
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∞
Perhaps if either:The length of the pendulum is infiniteThe pendulum is in perfect zero gravity and has no momentumBut in each of those cases, does it really qualify as a pendulum?
A longer pendulum has a longer period.
multiply the length of the pendulum by 4, the period doubles. the period is proportional to the square of the pendulum length.
Increase the length of the pendulum