# Is the number e rational or irrational?

A rational number is one which can be expressed as a ratio of two integers.

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The number e, which is approximately 2.71828, is irrational. This means that it cannot be expressed as a ratio of two integers and its decimal representation neither terminates nor repeats. The number e is a fundamental mathematical constant that arises naturally in various mathematical contexts, particularly in calculus and exponential functions. Its irrationality was proven by Euler in the 18th century.

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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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