Taylor's Theorem | IA Groups

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Taylor's Theorem

Taylor’s theorem gives with as .

Theorem 1.10 (Taylor's Theorem)

For a function which is differentiable times at ,

where as .

Stronger version

Corollary 1.11 (Stronger Version Of Taylor's Theorem)

Following Theorem 1.10, if exists and is continuous in this range, then

for some with .