# If a function f has derivatives of all orders at a point \(\large \(x=x_0)\) then the Taylor series of f about \(x_0) is defined byn

If a function f has derivatives of all orders at a point \(\large \(x=x_0)\) then the Taylor series of f about \(x_0) is defined byn

\(\large \( \sum_{n=0}^\infty \frac{f^n(x_0)}{n!}\)\)

—>> \(\large \( \sum_{n=0}^\infty \frac{f^n(x_0)}{n!} (x-1)^n)\)\)

\(\large \( \sum_{n=0}^\infty \frac{f^n(x_0)}{n-1}\)\)

None of the above