How has our ability to drill deeper wells impacted where humans can live?
Not to any great extent, with some exceptions.
I once visited an oilfield in China where there were active pump jacks pumping oil right in the middle of a town! The majority of deep wells are related to oil and gas exploration, and these tend to be away from major urban areas. However, the depth isn't that critical; it's just that oil and gas wells and urban areas just don't mix, at least not in North America.
The extraction and drilling method known as "fracking" is another new problem causing tension between oil and gas wells and cities; it has been linked to minor earthquakes near cities, and some localities are calling for its outlaw.
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The ability to drill deeper wells has expanded the areas where humans can live by providing access to groundwater in regions with limited surface water sources. This has facilitated settlement in arid and remote areas where water scarcity would have otherwise been a barrier to habitation.
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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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