find-the-linear-approximation-of-the-function-gxgxgx-for-small-values-of-xxx-usi

Question

Find the linear approximation of the function ﻿g(x)g(x)g(x)﻿ for small values of ﻿xxx﻿ using the formula ﻿(1+x)k≈1+kx(1 + x)^k ≈ 1 + kx(1+x)k≈1+kx﻿.﻿g(x)=(1+x)4g(x)=$$(1+x)^4g(x)=(1+x)4﻿$$

Accepted Answer

1+4x1+4x

Answer

1+2x1+2x

Answer

4+x4+x

Answer

3+x3+x

Find the linear approximation of the function g(x)g(x)g(x) for small values of xxx using the formula (1+x)k≈1+kx(1 + x)^k ≈ 1 + kx(1+x)k≈1+kx.g(x)=(1+x)4g(x)=(1+x)^4g(x)=(1+x)4

Find the linear approximation of the function $g(x)$ for small values of $x$ using the formula $(1 + x)^k ≈ 1 + kx$ .
$g(x)=(1+x)^4$