Thread: 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!

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!

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