Example: Rational Approximations


The following example illustrates the use of the { RAT } selection from the NUMBER THEORY menu.


Example

Determine rational approximations within an accuracy of .000001 for the numbers 1.75, √2, and log(e).

Procedure

Press

Display


Select the program. [ RUN ] { MTH }
{ --> } { --> }
{ NUM } { RAT }
D_cxfBCt
Enter the number 1.75 { x } D_SYgWks
Enter the allowable error .000001 { err } D_qYbW5b
Proceed with results { EOD } D_8I7kMN
View the numerator { NUM } D_QtelnR
View the denominator { DEN } D_8ni7eV
Enter the next number { ESC } 2 [ √x ]
{ x }
D_GOADxp
Proceed with results using the same error allowance { EOD } D_VMmV2O
View the numerator { NUM } D_501Uyk
View the denominator { DEN } D_u1OP3u
Enter the next number { ESC } 1 [ INV ]
[ LN ] [ LOG ]
{ x }
D_XvWvjf
Proceed with results using the same error allowance { EOD } D_ea5BqT
View the numerator { NUM } D_zjQ4Ga
View the denominator { DEN } D_AXxM0o



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