Taylor series: a series expansion of a function about a point

Just like when you substituted x2, you substitute in x+2. Here’s how you do it. Let’s do one last example. Recall that the Taylor series for ln(x) is the following: Now find the Taylor polynomial for ln(1+2x). Just do some plugging in! Let (1+2x) equal the x-value in the ln(x) Taylor expansion. ................
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