Question: Let f be an n-times differentiable function on an interval I = ( a , b ) . Show that if at a point t

Letf be an n-times differentiable function on an interval I=(a,b). Show that if at a point t0I,f(t0)=f(t0)=...=f(n1)(t0)=0 but f(n)(t0)=1, then f,f,...,f(n)are linearly independent on the interval I.

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