SOLUTION: Simplify: 1+(1/(1+(1/(1+(1/(1+(1/x))))))) if that makes no sense, it's also written something like (ignore the periods): 1+ ________1________ .......1+ ______1_____

SOLUTION: Simplify: 1+(1/(1+(1/(1+(1/(1+(1/x))))))) if that makes no sense, it's also written something like (ignore the periods): 1+ 1 .......1+ 1 ...

Question 62894This question is from textbook Algebra and Trigonometry
: Simplify:
1+(1/(1+(1/(1+(1/(1+(1/x)))))))
if that makes no sense, it's also written something like (ignore the periods):
1+ ________1________
.......1+ ______1______
..............1+ ____1____
......................1+ (1/x)
Thank you so much! This question is from textbook Algebra and Trigonometry

Answer by venugopalramana(3286) (Show Source): You can put this solution on YOUR website!
Simplify:
LET Y = 1+(1/(1+(1/(1+(1/(1+(1/x)))))))
IS IT TO INFINITE TERMS? IF SO,WE CAN SAY THAT
Y = 1+ 1/Y AS THE NUMBER OF TERMS ARE UP TO INFINITY
Y^2-Y-1=0

if that makes no sense, it's also written something like (ignore the periods):
1+ ________1________
.......1+ ______1______
..............1+ ____1____
......................1+ (1/x)
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SOLUTION: Simplify: 1+(1/(1+(1/(1+(1/(1+(1/x))))))) if that makes no sense, it's also written something like (ignore the periods): 1+ ________1________ .......1+ ______1______ ...

SOLUTION: Simplify: 1+(1/(1+(1/(1+(1/(1+(1/x))))))) if that makes no sense, it's also written something like (ignore the periods): 1+ 1 .......1+ 1 ...