How is a hypothesis useful?
Because it is a starting point for investigation .... it advances a proposition..
And an important property of an hypothesis is that it be TESTABLE, i.e. falsifiable. That is there exists a series of experiments whose outcomes would definitively confirm or deny the proposed hypothesis.
The better experiments are designed to test a simple proposition...do the data support this proposition? If YES the proposition, the hypothesis, may continue to be tested in other experiments. If NO, then the hypothesis is rejected, and it is back to the drawing board....
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A hypothesis is useful because it serves as a testable explanation or prediction for a phenomenon or observation. It guides scientific inquiry by providing a framework for designing experiments and gathering data. Additionally, hypotheses help scientists make logical deductions and refine their understanding of natural phenomena.
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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.
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.
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.
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.
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