How To Find Taylor Series Of Ln1X. Taylor series expansions of logarithmic functions and the combinations of logarithmic functions and trigonometric, inverse trigonometric, hyperbolic, and inverse hyperbolic functions. X1 k=0 ( 21)kx k (2k)!.

Now we have a way of finding our own taylor series: Where n is the order, f(n) (a) is the nth order derivative of f (x) as evaluated at x = a, and a is where the series is centered. ( 1 + x) = x − x 2 2 + x 3 3 − x 4 4 + & c = ∑ r = 0 ∞ ( − 1) r x r + 1 r + 1.