To which I would add this:
A graduate student of Trinity
Computed the square of infinity.
But it gave him the fidgets
To put down the digits,
So he dropped math and took up divinity.
- Anonymous
[2.25] Factor on complex
i
to show polynomial complex coefficients
The CAS automatic simplification perturbs complex coefficients of polynomials, for example,
[1]
(a
+
bi)x2
+
(c
+
di)x
+
e
+
fi
becomes
ax2
+
cx
+
e
+
bx2
+
dx
+
f
$
i
Use the factor() function to display coefficients associated with the independent variable, as in [1]
above. For this example, use
factor(a*x^2+c*x+e+(b*x^2+d*x+f)*¡,¡)
where 'i' is the complex 'i', not the alphanumeric 'i'.
[2.26]
limit() fails with piecewise functions
The CAS has problems with limits of piece-wise functions defined with when(). For example,
limit(when(x=0,
1
,sin(x)/x),x,0)
returns itself, instead of the correct limit of 1. This problem occurs with limits of the form
limit(when(x=a,b,f(x)),x,0)
only when the first when() argument is an equality, and the complete limit at zero is taken. To get
around this failure, use an independent variable of, for example, k-1, and evaluate the limit at 1. The
original example becomes
limit(when(k-
1
=0,
1
,sin(k-
1
)/(k-
1
)),k,
1
)
which correctly returns 1.
(Credit to Martin Daveluy)
2 - 18
Summary of Contents for TI-92+
Page 52: ...Component side of PCB GraphLink I O connector detail 1 41...
Page 53: ...LCD connector detail PCB switch side 1 42...
Page 54: ...Key pad sheet contact side Key pad sheet key side 1 43...
Page 55: ...Key cap detail 1 44...
Page 57: ...Component side of PCB with shield removed A detail view of the intergrated circuits 1 46...
Page 410: ...void extensionroutine2 void Credit to Bhuvanesh Bhatt 10 4...
