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830 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,ë 2,4},3) ¸
{1 3 ë 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.