HP 40gs hp 40gs_user's guide_English_E_HDPMSG40E07A.pdf - Page 299
To find the limit
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hp40g+.book Page 25 Friday, December 9, 2005 1:03 AM We can now see that: 3-- ⎛ ⎜n e 2-n 2⎝ - ⎞ n⎟ ⎠ ≤ un ≤ 7-4 ⎛ ⎜ ⎝ 2-- nen - ⎞ n⎟ ⎠ 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 To find the limit of ⎛ ⎜ 2-- nen - ⎞ n⎟ when n → +∞ , enter the ⎝ ⎠ expression at the right: 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 Step-by-Step Examples 16-25