Second-order Taylor series ≈imation of f(x) = In(1+x) at x=0... | Economics | SolveeIt | Solveeit

Today, August 24

Question

Second-order Taylor series approximation of f(x) = In(1+x) at x=0 is

A

$x-\frac{x^2}{2}$

B

$x+\frac{x^2}{2}$

C

$-x-\frac{x^2}{2}$

D

$-x+\frac{x^2}{2}$

Answer

$x-\frac{x^2}{2}$

Explanation

Solution

The correct answer is (A) : $x-\frac{x^2}{2}$