Taylor Series and Finite Differences

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Thank you for the video. I have difficulty with the initial formula of the Taylor expansion that you use here. Are we treating dx as the variable and x as our centre point? Usual form of Taylor expansion is (x-c) as the power term, c is the point we centre on and x is the variable. Can you cite a numerical example such as f(x)=sinx and investigate f(x+dx) so that some real readings can be obtained to aid understanding. Thank you for your enlightening.

Ivan-mpff
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Extremely valuable video for my university coursework

AdamWrigley