How do seismic waves travel through the earth?
It's complicated...
Both body and surface waves are produced by earthquakes, which radiate energy in what are seen as S and P waves. Body waves travel through the earth's interior and arrive before surface waves, which are emitted at a higher frequency. The first type of body wave is the P wave, also known as the primary wave, and is visible on a seismograph and recorded by a seismometer.
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Seismic waves travel through the Earth by propagating as energy waves generated by earthquakes or other seismic sources. These waves travel in all directions through the Earth's interior, including through its solid and fluid layers. Seismic waves can be classified into two main types: body waves and surface waves. Body waves include primary (P-waves) and secondary (S-waves), which travel through the Earth's interior, while surface waves travel along the Earth's surface. P-waves are compressional waves that travel through solids, liquids, and gases, while S-waves are shear waves that only travel through solids. Surface waves are slower than body waves but can cause significant damage near the Earth's surface during earthquakes.
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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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