Use zero through fourth$-$order Taylor series expansion to

approximate the function

f$($x$)=-0\mathrm{.}1$x$^(4)-0\mathrm{.}15$x$^(3)-0\mathrm{.}5$x$^(2)-0\mathrm{.}25$x$+1\mathrm{.}2$

from x$=0$ with h$=1.$ Predict the function's value at x$\_($i$+1)=1.$