Advanced Search

Question: how can this series be written as a continued fraction or a general sum formulae

Question:how can this series be written as a continued fraction or a general sum formulae

Lonely 400 Maple
fraction
March 04 2011
0

 

what is the general sum formula for the following seires (we may notice from these few terms it has a pattern)

 

exp(3)-(exp(3)-4*ln(x)/ln(10)+4+12/ln(10))/(1+4/(exp(3)*ln(10)))-(exp(3)-(exp(3)-4*ln(x)/ln(10)+4+12/ln(10))/(1+4/(exp(3)*ln(10)))-4*ln(x)/ln(10)+4+4*ln(exp(3)-(exp(3)-4*ln(x)/ln(10)+4+12/ln(10))/(1+4/(exp(3)*ln(10))))/ln(10))/(1+4/((exp(3)-(exp(3)-4*ln(x)/ln(10)+4+12/ln(10))/(1+4/(exp(3)*ln(10))))*ln(10)))

how can we write the above series as a continued fraction?

 

thank you
Please Wait...