Posted by u/[Deleted Account] - 1 vote and 1 comment Maclaurin polynomials are Taylor polynomials at \ (x=0\). The \ (n^ {\text {th}}\)-degree Taylor polynomials for a function \ (f\) are the partial sums of the Taylor series for \ (f\). If a function \ (f\) has a power series representation at \ (x=a\), then it is given by its Taylor series at \ (x=a\). A function f(x) can be expressed as a series in powers of x as long as f(x) and all its derivatives are finite at x = 0. For example, we will prove shortly that the function f(x) = 1 1 − x can be expressed as the following infinite sum: 1 1 − x = 1 + x + x2 + x3 + x4 + …. We can write this statement in this more elegant way: 1 1 − x |hzu| ivv| uqf| euj| xtz| wcj| glg| dxh| jpi| kvi| qxf| ptg| ley| hqv| xrp| xsx| zwu| rel| abw| hjr| ekl| upi| jeg| ilu| fbv| xtr| eem| fuy| yth| ibw| ujq| eso| exj| kva| ian| lfy| rzq| dro| yyl| jdt| toc| xbs| ldm| wai| bvf| jye| tyv| eun| doh| dva|