Introduction Taylor series or Taylor expansion of a function is a finite sum of terms that are expressed in terms of the functions derivatives at a single point The polynomial or function of an infinite sum of terms is the Taylor series. The exponent or degree of each succeeding term will be greater than the exponent or degree of the one before it. $$\mathrm{f(a)\:+\:\frac{f'(a)}{1!}(x\:-\:a)\:+\:\frac{f"(a)}{2!}(x\:-\:a)^{2}\:+\:\frac{f'''(a)}{3!}(x\:-\:a)^{3}\:+\:.......}$$ For a real value function f(x), where f'(a), f"(a), f"'(a), etc., stands for the derivative of the function at point a, the aforementioned Taylor series expansion is provided. The Taylor series is also known as ... Read More
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