Taylor series around x = 1, logarithm, and its interval of convergence
▼ IMPORTANT ▼ In this video we will see how the Taylor series around 1 is calculated, for the natural logarithm function of x, ln (x), by differentiating several times and substituting in the expression of the series. We will see how we can express the series using sigma notation. In addition we will use the criterion of the ratio to calculate the interval of convergence of the series. Everything explained step by step.
#Series #Calculation #Taylor #Trigonometry #Derivatives
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** BIBLIOGRAPHY **
Calculus of a variable, James Stewart
Calculus, M. Spivak
Simplified Mathematics, by Conamat
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