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What is the difference between derivative and limit in higher mathematics? Be specific ... thank you.
First, the content is different.

Derivation: refers to the limit of the quotient between the increment of the dependent variable and the increment of the independent variable when the increment of the independent variable tends to zero.

Seeking limit: refers to a variable in a function, which gradually moves to a certain value in the process of permanent change.

Second, the symbols are different.

Derivation: The symbol of derivation is "f'(x)".

Seek the limit: the symbol for seeking the limit is "lim".

Third, the nature is different.

Derivation: The properties of derivation include that the differentiable function must be continuous and the discontinuous function must be nondifferentiable.

Seeking limit: the properties of seeking limit include uniqueness, boundedness, sign-preserving, inequality-preserving and compatibility of real number operation.

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