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.

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**Linear Approximation**- Definition

... The

**linear approximation**is obtained by dropping the remainder This is a good

**approximation**for x when it is close enough to a since a curve, when closely observed ... For this reason, this process is also called the tangent line

**approximation**... If f is concave down in the interval between x and a, the

**approximation**will be an overestimate (since the derivative is decreasing in that interval) ...

Comparative Statics -

... This means that the equilibrium price depends positively on the demand intercept if g – b > 0, but depends negatively on it if g – b < 0 ... Which of these possibilities is relevant? In fact, starting from an initial static equilibrium and then changing a, the new equilibrium is relevant only if the market actually goes to that new equilibrium ...

**Linear Approximation**- Stability - An Example of The Role of The Stability Assumption... This means that the equilibrium price depends positively on the demand intercept if g – b > 0, but depends negatively on it if g – b < 0 ... Which of these possibilities is relevant? In fact, starting from an initial static equilibrium and then changing a, the new equilibrium is relevant only if the market actually goes to that new equilibrium ...

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