Differential Equations
the slope of the tangent line to the curve y = f(x) at the point (x,y). This slope is obtained by a limit, and is defined as f′(x) = lim h→0 f(x +h)−f(x) h. (1) 0.4Differentiating a combination of functions 0.4.1The sum or difference rule The derivative of the sum of f(x) and g(x) is (f + g)′= f′+ g′. Similarly, the derivative of ...
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www.math.hkust.edu.hk5. Taylor and Laurent series Complex sequences and series An infinite sequence of complex numbers, denoted by {zn}, can be considered as a function defined on a set of positive integers into the unextended complex plane. For example, we take zn= n+ 1 2n so that the complex sequence is {zn} = ˆ1 + i 2, 2 + i 22, 3 + i 23 ...
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