can-someone-explain-to-me-big-K-notation-I-don-t-know-the-name-It-is-related-to-continuous-fractions-e-g-x-b-0-K-i-1-a-i-b-i-e-x-x-0-0-x-1-1-x-2-2-e-x-i-0

Question Number 10563 by FilupS last updated on 18/Feb/17

can someone explain to me

big K notation ? (I {don}^{'} t know the name)

It is related to continuous fractions .

e . g . x = b_{0} + \underset{i = 1}{\overset{\infty}{K}} \frac{a_{i}}{b_{i}}

e^{x} = \frac{x^{0}}{0!} + \frac{x^{1}}{1!} + \frac{x^{2}}{2!} + \dots

e^{x} = \underset{i = 0}{\sum^{\infty}} \frac{x^{i}}{i!}

= 1 + \frac{x}{1 - \frac{1 x}{2 + x - \frac{2 x}{3 + x - \frac{3 x}{\dots}}}}

How do you interperate this in

big K notation ?