# What is the general formula for exponential growth of a population?

Population

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The general formula for exponential growth of a population is given by:

[ P(t) = P_0 \times e^{rt} ]

Where:

- ( P(t) ) is the population size at time ( t ),
- ( P_0 ) is the initial population size (at ( t = 0 )),
- ( r ) is the exponential growth rate, and
- ( e ) is the base of the natural logarithm (approximately equal to 2.71828).

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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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