Texas Instruments TITANIUM TI-89 - Manual (Page 834)

834 Appendix A: Functions and Instructions
lcm() MATH/Number menu
lcm( number1 , number2 )
⇒ ⇒ ⇒ ⇒ expression
lcm( list1 , list2 ) ⇒ ⇒ ⇒ ⇒ list
lcm( matrix1 , matrix2 )
⇒ ⇒ ⇒ ⇒ matrix
Returns the least common multiple of the two
arguments. The
lcm of two fractions is the lcm of
their numerators divided by the gcd of their
denominators. The lcm of fractional floating-
point numbers is their product.
For two lists or matrices, returns the least
common multiples of the corresponding elements.
lcm(6,9) ¸ 18
lcm({1/3,ë 14,16},{2/15,7,5}) ¸
{2/3 14 80}
left()
MATH/String menu
left( sourceString [, num ])
⇒ string
Returns the leftmost num characters contained in
character string sourceString .
If you omit num , returns all of sourceString .
left("Hello",2) ¸ "He"
left( list1 [, num ]) ⇒ ⇒ ⇒ ⇒ list
Returns the leftmost num elements contained in
list1 .
If you omit num , returns all of list1 .
left({1,3,л 2,4},3) ¸
{1 3 л 2}
left( comparison )
⇒ expression
Returns the left-hand side of an equation or
inequality.
left(x<3) ¸ x
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.