#### Linear Approximation | Formula & Example

Linear Approximation | Formula & Example In mathematics, a linear approximation is an approximation of a general function using a linear function (more precisely, an affine function). They are widely used in the method of finite differences to produce first-order methods for solving or approximating solutions to equations. Given a twice continuously differentiable function {\displaystyle f} of one real variable, Taylor’s theorem for the case {\displaystyle n=1} states that {\displaystyle f(x)=f(a)+f'(a)(x-a)+R_{2}\ } […]