Casio FX-991ES User Guide - Page 70

Functions, Input Range

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Functions tanhx tanh-1x logx/lnx 10x ex 'x x2 1/x 3'x x! nPr nCr Pol(x, y) Rec(r, ␪) °' " ^(xy) Input Range 0Ϲ ȊxȊ Ϲ9.999999999҂1099 0Ϲ ȊxȊ Ϲ9.999999999҂10-1 0 x Ϲ9.999999999҂1099 -9.999999999҂1099Ϲ x Ϲ 99.99999999 -9.999999999҂1099Ϲ x Ϲ 230.2585092 0Ϲ x  1 ҂ 10100 ȊxȊ 1҂ 1050 ȊxȊ 1҂ 10100 ; x G 0 ȊxȊ 1҂ 10100 0Ϲ x Ϲ 69 (x is an integer) 0Ϲ n  1҂1010, 0Ϲ r Ϲ n (n, r are integers) 1Ϲ {n!/(n-r)!}  1҂10100 0Ϲ n  1҂1010, 0Ϲ r Ϲ n (n, r are integers) 1Ϲ n!/r!  1҂10100 or 1Ϲ n!/(n-r)!  1҂10100 ȊxȊ, ȊyȊ Ϲ9.999999999҂1099 x2+y2 Ϲ9.999999999҂1099 0Ϲ r Ϲ9.999999999҂1099 θ: Same as sinx ȊaȊ, b, c  1҂10100 0 Ϲ b, c ȊxȊ1҂10100 Decimal ↔ Sexagesimal Conversions 0°0'0"Ϲ ȊxȊ Ϲ9999999°59'59" xŒ0: -1҂10100 ylogx100 x҃0: yŒ0 x0: y҃n, m 2n+1 (m, n are integers) However: -1҂10100 ylogȊxȊ100 yŒ0: x G 0, -1҂101001/x logy100 x'y y҃0: xŒ0 y0: x҃2nѿ1, 2n+1 (m G 0; m, n are integers) m However: -1҂10100 1/x logȊyȊ100 a b/c Total of integer, numerator, and denominator must be 10 digits or less (including division marks). • Precision is basically the same as that described under "Calculation Range and Precision", above. • ^(xy), x'y, 3', x!, nPr, nCr type functions require consecutive internal calculation, which can cause accumulation of errors that occur with each calculation. • Error is cumulative and tends to be large in the vicinity of a function's singular point and inflection point. E-68

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E-68
Functions
Input Range
tanh
x
0
±
³
x
³
±
9.999999999
±
10
99
tanh
–
1
x
0
±
³
x
³
±
9.999999999
±
10
–1
log
x
/ln
x
0
´
x
±
9.999999999
±
10
99
10
x
–9.999999999
±
10
99
±
x
±
99.99999999
e
x
–9.999999999
±
10
99
±
x
±
230.2585092
'
x
0
±
x
´
1
±
10
100
x
2
³
x
³´
1
±
10
50
1/
x
³
x
³´
1
±
10
100
;
x
G
0
3
'
x
³
x
³´
1
±
10
100
x
!
0
±
x
±
69 (
x
is an integer)
n
P
r
0
±
n
´
1
±
10
10
, 0
±
r
±
n
(
n
,
r
are integers)
1
±
{
n
!/(
n
–
r
)!}
´
1
±
10
100
n
C
r
0
±
n
´
1
±
10
10
, 0
±
r
±
n
(
n
,
r
are integers)
1
±
n
!/
r
!
´
1
±
10
100
or 1
±
n
!/(
n
–
r
)!
´
1
±
10
100
Pol(
x
,
y
)
³
x
³
,
³
y
³
±
9.999999999
±
10
99
x
2
+
y
2
±
9.999999999
±
10
99
Rec(
r
,
³
)
0
±
r
±
9.999999999
±
10
99
θ
: Same as sin
x
³
a
³
, b, c
´
1
±
10
100
°
’ ”
0
±
b, c
³
x
³´
1
±
10
100
Decimal
↔
Sexagesimal Conversions
0
°
0'0"
±
³
x
³
±
9999999
°
59'59"
x
µ
0: –1
±
10
100
´
y
log
x
´
100
^(
x
y
)
x
0:
y
µ
0
x
´
0:
y
n
,
(
m
,
n
are integers)
However: –1
±
10
100
´
y
log
³
x
³´
100
y
µ
0:
x
G
0, –1
±
10
100
´
1/
x
log
y
´
100
x
'
y
y
0:
x
µ
0
y
´
0:
x
2
n
²
1,
(
m
G
0;
m
,
n
are integers)
However: –1
±
10
100
´
1/
x
log
³
y
³´
100
a
b
/
c
Total of integer, numerator, and denominator must be 10 digits or
less (including division marks).
m
2
n
+1
2
n
+1
m
•
Precision is basically the same as that described under “Calculation Range and
Precision”, above.
• ^(
x
y
),
x
'
y
,
3
'
,
x
!,
n
P
r
,
n
C
r
type functions require consecutive internal
calculation, which can cause accumulation of errors that occur with each
calculation.
•
Error is cumulative and tends to be large in the vicinity of a function’s singular
point and inflection point.