# How do I determine a limit for x using MATLAB?

You declare symbolic variable by usage of syms instruction.

To count limit, you use - nomen omen - function limit.

How? It is limit(function, variable).

Also, you may have limit(function, variable, 'left'/'right' to calculate left-side, right-side limits.

So:

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To determine a limit for x using MATLAB, you can use the "limit" function. The syntax for this function is as follows:

limit(expression, variable, value)

Where:

- "expression" represents the mathematical expression for which you want to find the limit.
- "variable" is the variable in the expression with respect to which you want to find the limit.
- "value" is the value towards which the variable approaches.

For example, if you want to find the limit of the expression (x^2 - 1)/(x - 1) as x approaches 1, you can use the following code:

syms x limit((x^2 - 1)/(x - 1), x, 1)

This will return the limit value.

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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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