Taylor series for $\sqrt{x}$? I'm trying to figure Taylor series for $\sqrt{x}$. Unfortunately all web pages and books show examples for $\sqrt{x+1}$. Is there any particular reason no one shows Taylor series for exactly $\sqrt{x}$?

Well, I know this is an old answered post, but referring to the question that all web pages and books doesn't show examples for $\sqrt{x}$,  on book, Thomas' Calculus Twelfth Edition on exercises of section 10.8, problem 9 the question is: find the Taylor polynomial of order 0,1,2, and 3 generated by $f$ at $a$ and the exercises are the following

And the book also gives the answers, those are the following

I've posted the images of the book in order to show that at least there's one book with the worked exercise.
Internet is a very resourceful place, but good calculus books are a very good option to find lots of exercises and examples that have been worked by experts.
