Lecture
Composite Function: Limited Developments
Description
This lecture covers the calculation of the development of f(g(x)) around x = 0 up to order n = 4, where f(x) = cosh(x) and g(x) = cos(x). It includes the known development of cosine, the development of cosh(y) around y = 1, and the composition of these developments. The final result is the limited development of fog(x) = cosh(1) + sinh(1)(-x²) - cosh(1)x⁴.
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