approximation with taylor series

Over the interval how poorly does the tangent line at approximate ? How about the quadratic taylor polynomial?

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

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Originally Posted by buttonbear

Over the interval how poorly does the tangent line at approximate ? How about the quadratic taylor polynomial?

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

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Start by writing the Taylor polynomials of order 1 and 2 out.

Now there are two approaches one is to use the remainder term for the Taylor series. The second approach is to plot the three functions over the interval (3,5).

CB