HP 49g+ - Manual (Page 433)

Page 13-2
Function lim
The calculator provides function lim to calculate limits of functions. This
function uses as input an expression representing a function and the value
where the limit is to be calculated. Function
lim is available through the
command catalog ( ‚N~„l) or through option 2. LIMITS &
SERIES… of the CALC menu (see above).
Note: The functions available in the LIMITS & SERIES menu are shown next:
Function DIVPC is used to divide two polynomials producing a series
expansion. Functions DIVPC, SERIES, TAYLOR0, and TAYLOR are used in
series expansions of functions and discussed in more detail in this Chapter.
Function
lim is entered in ALG mode as lim(f(x),x=a) to calculate the
limit
) ( lim x f
a x→
. In RPN mode, enter the function first, then the expression
‘x=a’, and finally function lim. Examples in ALG mode are shown next,
including some limits to infinity. The keystrokes for the first example are as
follows (using Algebraic mode, and system flag 117 set to CHOOSE boxes):
„Ö2 @@OK@@ 2 @@OK@@ x+1‚í x‚Å 1`
The infinity symbol is associated with the
0 key, i.e.., „и.