Appendix A: Functions and Instructions
833
limit()
MATH/Calculus menu
limit(
expression1
,
var
,
point
[
,
direction
]
)
⇒
⇒
⇒
⇒
expression
limit(
list1
,
var
,
point
[
,
direction
]
)
⇒
⇒
⇒
⇒
list
limit(
matrix1
,
var
,
point
[
,
direction
]
)
⇒
⇒
⇒
⇒
matrix
Returns the limit requested.
direction
: negative=from left, positive=from right,
otherwise=both. (If omitted,
direction
defaults to
both.)
limit(2x+3,x,5)
¸
13
limit(1/x,x,0,1)
¸
ˆ
limit(sin(x)/x,x,0)
¸
1
limit((sin(x+h)
-
sin(x))/h,h,0)
¸
cos(x)
limit((1+1/n)^n,n,
ˆ
)
¸
e
Limits at positive
ˆ
and at negative
ˆ
are always
converted to one-sided limits from the finite side.
Depending on the circumstances,
limit()
returns
itself or
undef
when it cannot determine a unique
limit. This does not necessarily mean that a
unique limit does not exist.
undef
means that the
result is either an unknown number with finite or
infinite magnitude, or it is the entire set of such
numbers.
limit()
uses methods such as L’Hopital’s rule, so
there are unique limits that it cannot determine. If
expression1
contains undefined variables other
than
var
, you might have to constrain them to
obtain a more concise result.
Limits can be very sensitive to rounding error.
When possible, avoid the
APPROX
setting of the
Exact/Approx
mode and approximate numbers
when computing limits. Otherwise, limits that
should be zero or have infinite magnitude
probably will not, and limits that should have
finite non-zero magnitude might not.
limit(a^x,x,
ˆ
)
¸
undef
limit(a^x,x,
ˆ
)|a>1
¸
ˆ
limit(a^x,x,
ˆ
)|a>0 and a<1
¸
0
Line
CATALOG
Line
xStart
,
yStart
,
xEnd
,
yEnd
[
,
drawMode
]
Displays the Graph screen and draws, erases, or
inverts a line segment between the window
coordinates (
xStart
,
yStart
) and (
xEnd
,
yEnd
),
including both endpoints.
If
drawMode
= 1, draws the line (default).
If
drawMode
= 0, turns off the line.
If
drawMode
=
ë
1, turns a line that is on to off or
off to on (inverts pixels along the line).
Note
: Regraphing erases all drawn items. See
also
PxlLine
.
In the
ZoomStd
window, draw a line and then erase it.
Line 0,0,6,9
¸
¥
"
Line 0,0,6,9,0
¸
Summary of Contents for Voyage 200
Page 36: ...Getting Started 36 D B D B Press Result ...
Page 45: ...Getting Started 45 3 0 D B D D B D Press Result ...
Page 46: ...Getting Started 46 D 2 0 0 2 D B Scroll down to October and press Press Result ...
Page 60: ...Getting Started 60 B D Press Result ...
Page 139: ...Previews 139 8 Complete the operation Press 2 d Steps and keystrokes Display 5 f 2 ...
Page 453: ...Differential Equation Graphing 453 ...
Page 468: ...Tables 468 ...
Page 777: ...Activities 777 ...