Represent the function $f(x)=x^{0\mathrm{.}4}$ as a power series:

${\displaystyle \underset{n=0}{\overset{}{}}}{c}_n(x-5{)}^n$

Find the following coefficients:

$c_0=$

$c_1=$

$c_2={0\mathrm{.}24}^{**}{5}^{-1\mathrm{.}6}$

$c_3={0\mathrm{.}384}^{**}{5}^{-2\mathrm{.}6}$

Find the interval of convergence: $$