Sharp EL-9900 - Manual (Page 77)

2
Advanced Keyboard/CALCULUS USING THE SHARP EL-9900
Copyright © 2002, Sharp Electronics Corporation. Permission is granted to photocopy for educational use only.
6. Tables of functional values sometimes provide more detailed information
than a graph when investigating limits. The TABLE feature will assist
you in constructing a numerical table of values. Press TABLE to access the
TABLE feature.
7. Notice the table provides the x-values and their corresponding y-values
according to Y1. You can change the table settings by pressing 2ndF
TBLSET . You can change the table start value and the table step value.
Verify the following values using the the TABLE feature.
x gets smaller and smaller →
x
-10 -50 -100 -250 -500 -1000 -10,000
y
-.18182 -.03922 -.01980
.00797
-.00399 -.00200 -.00020
y = f(x) appears to get closer and closer to 0
This provides evidence that lim f(x) = 0.
x
→ ∞
x approaches -1 from the left x approaches -1 from the right
x
-1.05 -1.01 -1.001 -1.0001 -.9999 -.999 -.99 -.90
y
-.9756 -.99502 -.9995 -.9999 -1.0001 -1.0005 -1.0051 -1.0526
y = f(x) gets closer and closer to -1 from above y = f(x) gets closer and closer to -1 from below
This provides evidence that lim f(x) = -1.
x
→ -1
EVALUATING LIMITS
(continued)