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How does Hubble's Law change in an accelerating universe?

Answer 1

It doesn't.

Hubble's law (Hubble's constant more correctly) simply states that the greater the distance an object is from us the greater the red shift and that the red shift will fall along a diagonal line.

The graph above illustrates this. The black dots represent objects at varying distances.

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Answer 2

Ariana Acosta

Hubble's Law remains valid in an accelerating universe, but the rate of expansion accelerates with time. This implies that galaxies appear to be moving away from one another faster, which causes a faster increase in their recession velocities proportional to their distances.

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Answer from HIX Tutor

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.