How do I find reminder of a function in taylor expansion in Maple13?

Question:How do I find reminder of a function in taylor expansion in Maple13?

Posted: reza79 0 Product: Maple 13

October 16 2010

The function of my problem is:

$f(x) = piecewise(x < 0, 0, 0 <= x, exp(-1/x^2))$

where a=0,x=0.5 and ξ=.25 i want to find reminder of f(x),R, and then plot R-n plot(n is degree of diff)

Hint:

$limit(R[n], n = infinity) = limit(((x-a)/factorial(n))^n*f(Zeta)^n, n = infinity)$

tanx.

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