## Taylor's theorem

If all the derivatives of a function The case

*f*(*x*) are continuous in the vicinity of*x*=*a*, then*f*(*x*) can be expressed in an infinite series (the Taylor series):*a*= 0 is called a Maclaurin series.From Glossary of Meteorology

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If all the derivatives of a function *f*(*x*) are continuous in the vicinity of *x* = *a*, then *f*(*x*) can be expressed in an infinite series (the Taylor series): The case *a* = 0 is called a Maclaurin series.