hp40g+.book Page 25 Friday, December 9, 2005 1:03 AM
We can now see that:
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| 2 |
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3 | ⎛ | ⎞ |
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| 7 | ⎛ | ⎞ | ||
n | ≤ u |
| n | ||||||
⎜ne |
| – n⎟ | n | ≤ | ⎜ne |
| – n⎟ | ||
2 | ⎝ |
| ⎠ |
| 4 | ⎝ |
| ⎠ |
To justify the preceding calculation, we must assume that
x | x |
n ⋅ en is a primitive of en .
If you are not sure, you can use the INTVX function as illustrated at the right:
Note that the INTVX command is on the 
menu.
The simplified result, got by
pressing 
twice, is shown at the right:
Solution 4 | ⎛ | 2 | ⎞ |
To find the limit of ⎜nen | – n⎟ when n → +∞ , enter the | ||
| ⎝ |
| ⎠ |
expression at the right: |
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Note that the lim command is on the 
menu. The infinity sign can be selected from the character map, opened by
pressing | . |
Pressing | once after selecting the infinity sign adds |
a “+” character to the infinity sign.
Select the entire expression
ans press 
to get the result, which is:
2
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