What is the bound on the error when using the T3 polynomial to approximate In(1 – 2r) over the interval z € [-}, }|? Recall Taylor's inequality: If |f(n+1)(z)| < M for |r – a| S d, then the remainder R,(1) M of the Taylor series satisfied the inequality |R„(1)| < lz- a["+1 for |r – a| < d. (n + 1)!'

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Equations and Inequations

Equations and inequalities describe the relationship between two mathematical expressions.

Linear Functions

A linear function can just be a constant, or it can be the constant multiplied with the variable like x or y. If the variables are of the form, x2, x1/2 or y2 it is not linear. The exponent over the variables should always be 1.