Find the Taylor series for $ f(x) $ centered at the given value of $ a. $ [Assume that $ f $ has a power series expansion. Do not show that $ R_n (x) \to 0.$] Also find the associated radius of convergence.
$ f(x) = x^6 - x^4 + 2, $ $ a = 2 $
the problem is finding the tenor Siri's or effort lacks. Center that Cuban money off, eh? Also find a certainty. The radios of Emerges first half to ISI go to after curative of zero to six ext. Off minus four. Ax Q. Of prom, too. It's a call to one sixty, and secondary motive is you got your thirty ex partner for minus twelve. Ex squire Sudden narrative. Truth is, they want to four three two through the derivative is they go to one hundred and on the cube minus twenty four eyes. They're degenerative to culture. Nine one two Fourth determinative is equal to three six zero X squire minus twenty four. A fourth derivative to Hisako, too. One suits one four one six fifth narrative is they called tio seven to zero axe. So fifth narrative to is equal to one for a war hero. Six. Derivative, as they call to someone to zero on DH and definitive is equal to zero if and his greatest six. And we have the Pinna Siri's for After Lux is somebody from zero to infinity have a narrative pointed to over factorial times X to the power off in which is equal to fifty. Oh, here's this axe once, too, to the party end. This is fifteen plus one. Six zero six months, too, plus two one six halves. Xmas to squire Boss already two x months, too cube Last fifty nine I see plus minus two. She's the parlor floor for US twelve Cam's X months to into the part of Father US X months to power. Six. Since the tele Siri's well after Lex is a polynomial, so it converges every wire, then radius of convergence is infinity.