Texas Instruments Voyage 200 User Manual

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. I
f
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
¸

Texas Instruments Voyage 200 Specifications

General

Type	Scientific
Form factor	Pocket
Product color	Blue
Display resolution	128 x 240 pixels