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The objective is to provide approximate solutions for problems that don't have a traditional (exact) solution. For example, numerical integration can provide definite integrals in cases where you can't find an exact solution via an antiderivative. Note that in this example, you can get the answer as exact as you want - that is, you can make the error as small as you want (but not zero).

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Q: What is the objective for numerical maths?
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