Can a hypothesis that has been rejected be of any value to scientists? Why or why not?

Answer 1

Yes, it can.

One famous example is the Michelson-Morley 1887 experiment to determine the so-called aether-drag, that would influence the speed of light, when measured in different directions. See: https://tutor.hix.ai The failure of this experiment completely disproved the concept of the "lumiferous aether" and established another cornerstone for the theory of relativity.

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Answer 2

Jeremiah Adams

Yes, a hypothesis that has been rejected can still be valuable to scientists. It provides valuable information about what does not work, guiding future research directions and helping refine hypotheses for further investigation. Additionally, understanding why a hypothesis was rejected can lead to new insights and advancements in the field.

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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.