# Continued fraction of function (2) Calculator

## Calculates the continued fraction expansion of function f(x) with n terms. b0+a1/(b1+a2/(b2+...

 $\normal f(x)=b_0+{\large\frac{a_1}{b_1+{\large\frac{a_2}{b_2+...}}}}\\$
 b0 the 1st term an the n-th term numerator bn the n-th term denominator x variable
 6dgt10dgt14dgt18dgt22dgt26dgt30dgt34dgt38dgt42dgt46dgt50dgt
 $\normal Continued\ fraction\\\hspace{50} f(x)=b_0+{\large\frac{a_1}{b_1+{\large\frac{a_2}{b_2+...}}}}\\[10](1)\ f(x)=\lim_{\small{n \to \infty}}f_n(x)\\\hspace{50}f_n(x)=b_0+{\large\frac{a_1}{b_1+}\frac{a_2}{b_2+}\ \cdots\ \frac{a_n}{b_n+}}\\[10](2)\ Example\\[10]\hspace{20pt} function\hspace{10pt} b_0\hspace{30pt} a_n\hspace{25pt} b_n\\\hspace{35pt} {\large\sqrt{x}} \hspace{48pt} 1\hspace{25pt} x-1\hspace{20pt} 2\\\hspace{35pt} {\large\frac{x}{e^x-1}} \hspace{20pt} 1-{\large\frac{x}{2}}\hspace{20pt} {\large\frac{x^2}{4}}\hspace{20pt} 2n+1\\$

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