HP 32SII User Manual
Page 323
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Solving
C–9
File name 32sii-Manual-E-0424
Printed Date : 2003/4/24 Size : 17.7 x 25.2 cm
The search halts because SOLVE is working on a horizontal
asymptote—an area where f(x) is essentially constant for a wide range of
x (see figure b, below). The ending value of f(x) is the value of the
potential asymptote.
The search is concentrated in a local "flat" region of the function (see
figure c, below). The ending value of f(x) is the value of the function in
this region.
f (x)
x
a
f (x)
x
b
f (x)
x
c
Case Where No Root Is Found
The SOLVE operation returns a math error if an estimate produces an
operation that is not allowed — for example, division by zero, a square root
of a negative number, or a logarithm of zero. Keep in mind that SOLVE can
generate estimates over a wide range. You can sometimes avoid math errors
by using good guesses. If a math error occurs, press
K
unknown variable
(or
{
variable) to see the value that produced the error.