HP 50g HP 50g_user's manual_English_HDPSG49AEM8.pdf - Page 135
„è, R!ÜX, 1™@íX@Å1+0, limfx, x=a
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Function lim is entered in ALG mode as lim(f(x),x=a) to calculate the limit lim x→a f (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, and one-sided limits. The infinity symbol is associated with the 0 key, i.e.., „è. To calculate one-sided limits, add +0 or -0 to the value to the variable. A "+0" means limit from the right, while a "-0" means limit from the left. For example, the limit of x − 1 as x approaches 1 from the left can be determined with the following keystrokes (ALG mode): ,N~„l˜$OK$ R!ÜX- 1™@íX@Å1+0` The result is as follows: Page 11-2
Page 11-2
Function
lim
is entered in ALG mode as
lim(f(x),x=a)
to calculate
the limit
.
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, and one-sided limits. The
infinity symbol is associated with the
0
key, i.e..,
„è
.
To calculate one-sided limits, add +0 or -0 to the value to the variable.
A
“+0” means limit from the right, while a “–0” means limit from the left.
For
example, the limit of
as
x
approaches 1 from the left can be
determined with the following keystrokes (ALG mode):
‚N~„l˜
$OK$
R!ÜX-
1™@íX@Å1+0`
The result is as follows:
)
(
lim
x
f
a
x
→
1
−
x