460 Appendix A: Functions and Instructions
8992APPA.DOC TI-89 / TI-92 Plus: Appendix A (US English) Susan Gullord Revised: 02/23/01 1:48 PM Printed: 02/23/01 2:21 PM Page 460 of 132
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,ë14,16},{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,ë2,4},3) ¸
{1 3 ë2}
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.