Over the interval $\displaystyle 3<x<5,$ how poorly does the tangent line at $\displaystyle x=4$ approximate $\displaystyle \sqrt {3+x}$? How about the quadratic taylor polynomial?

I'm really not sure of how to approach this one, help please!

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- Apr 27th 2009, 03:19 PMbuttonbearapproximation with taylor series
Over the interval $\displaystyle 3<x<5,$ how poorly does the tangent line at $\displaystyle x=4$ approximate $\displaystyle \sqrt {3+x}$? How about the quadratic taylor polynomial?

I'm really not sure of how to approach this one, help please! - Apr 29th 2009, 12:03 AMCaptainBlack