HP 35s User Manual page 328

Values of f(x) may be approaching infinity at the location where the graph
changes sign (see figure b, below). This situation is called a pole. Since the
SOLVE operation determines that there is a sign change between two
neighboring values of x, it returns the possible root. However, the value for
f(x) will be relatively large. If the pole occurs at a value of x that is exactly
represented with 12 digits, then that value would cause the calculation to halt
with an error message.
f (x)
a
Special Ca se: A Discontinuity and a Pole
Example: A Discontinuous Function.
Find the root of the equation:
Enter the equation:
Keys:


()
XÕ



D-6
More about Solving
x
IP(x) = 1.5
Display:



f (x)
b
Description:
Selects Equation mode.
Enter the equation.
Checksum and length.
Cancels Equation mode.
x