Understanding Taylor Polynomials for Calc-2

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estro
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Hi,
I'm doing calc-2, and I have hard time understanding and visualizing the idea of Taylor approximation in my head. By the same time I have no problems solving homework on this topic.

Can someone please explain how I should visualize and think about approximations using Taylor Polynomials to really understand this...
 
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I'm going to take the liberty of referring you to https://www.physicsforums.com/blog.php?b=1758 , which I wrote some time ago.

I hope it gets you started, if you have any questions, please feel free to ask.
 
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Oh..., great post!
Now I need some time to digest this in my mind...=)
I'm already have a question but need time to formulate it clearly...
Again, thank you very much!