# What is the best description of exponential decay?

Exponential decay is when the value or size of something is decreasing over time, but as it gets smaller, it decreases more and more slowly.

Exponential models (both growth and decay) are all about rates of change that are in proportion to the value or size of the object in question (e.g. a population, radioactive object, temperature). So in exponential growth, a population may be growing in size - but as the population gets bigger, its growth rate speeds up. Conversely, in an exponential decay situation, as a radioactive object loses mass, its decay rate slows down.

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Exponential decay is a mathematical concept that describes the decrease of a quantity over time where the rate of decrease is proportional to the current value of the quantity. It is characterized by a continuous decrease that follows an exponential function, resulting in a curve that approaches but never reaches zero. In other words, the rate of decay decreases over time, but the quantity itself never fully disappears. This phenomenon is commonly observed in various natural processes such as radioactive decay, population decline, and the decay of certain chemicals.

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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.

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