In the definition of Taylor's Series we say "If a function $f$ defined on $[a , a+h]$ is such that all the derivatives up to $(n-1)$-th order are continuous in $[a,a+h]$..."
Why are we taking up to $(n-1)$-th order? Why not up to $n$-th order?
In the definition of Taylor's Series we say "If a function $f$ defined on $[a , a+h]$ is such that all the derivatives up to $(n-1)$-th order are continuous in $[a,a+h]$..."
Why are we taking up to $(n-1)$-th order? Why not up to $n$-th order?
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