# What is the effect of exponential growth on a population?

Exponential growth means the population will grow by a certain factor every year.

You may also say that the population will grow with a certain percentage every year.

In theory, if the growth factor is constant. the population can reach any size, given time.

Example :

Let's say the population grows with 5% every year, meaning that for every 100 people the difference between births and deaths is 5 in the positive (you can do the same for immigration and emigration).

The growth factor is now 1.05, meaning you multiply the existing population by 1.05 (this is the same as adding 5%). And the next year, etc.

After, say, 10 years you've done this 10 times, so the population will be

You can image the impact on the economy, standard of life, etc.

General formula:

Where

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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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