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| Limitation
(CAS mode) |
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| Determines
the limits of a function expression. |
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| [F2](CALC)[3](lim) |
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| lim(
expression , var , point [ , direction
] [ ) ] |
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| 1. |
To
determine the limits of sin(X)/X when X=0.(Angle:Rad)
[F2](CALC)[3](lim)[sin][X][/]
[X][,][X][,][0][EXE] |
|
| 2. |
lim(
1/N, N, 0, +1 ) |
 |
| 3. |
lim(1/X,
X, ) |
0 |
| 4. |
lim(
tan-1(1/X), X, 0, -1 ) |
- /2 |
| 5. |
lim(
tan-1(1/X), X, 0, +1 ) |
/2 |
| 6. |
lim(
X sin(1/X), X, 0 ) |
0 |
| 7. |
lim(
Abs(1/X), X, 0 ) |
|
| 8. |
lim(
(1-X2)/(X+1), X, 1 ) |
0 |
| 9. |
lim(
sin(X)/X, X, 0 ) |
1 |
| 10. |
lim(
e(-X), X, ) |
0 |
| 11. |
lim(
e (1/X), X ,0, -1 ) |
0 |
| 12. |
lim(
e (1/X), X ,0, 1 ) |
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| 13. |
lim(
X ln(X), X, 0 ) |
0 |
| 14. |
lim(
ln(X), X, 0, -1 ) |
-
<complex mode> |
| 15. |
lim(
(1-cos(X))/X2, X, 0 ) |
1/2 |
| 16. |
lim(
(1/(X+H)^3 - 1/X^3)/H, H, 0 ) |
-3/X4 |
| 17. |
lim(
(X+1)/(X2-1), X, -1 ) |
-1/2 |
| 18. |
lim(
(X+A)/(X2-A2), X, -A ) |
-1/2A |
| 19. |
lim(
(1 + 1/X)^X, X, ) |
e |
| 20. |
lim(
(X-3)/Abs(X-3), X, 3, -1 ) |
-1 |
| 21. |
lim(
Abs(X-1)/(X-1)2, X, 1, 1 ) |
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| 22. |
lim(
ln(X+1) - ln(X), X, ) |
0 |
| 23. |
lim(
(X-1)2/Abs(X2-1), X, 1 ) |
0 |
| 24. |
lim(
(X-1)2/Abs(X2-1), X, 1, 1 ) |
0 |
| 25. |
lim(
(X-1)2/Abs(X2-1), X, 1, -1 ) |
0 |
| 26. |
lim(
Abs(X - 2)/(X - 2), X, 2, 1 ) |
1 |
| 27. |
lim(
Abs(X - 2)/(X - 2), X, 2, -1 ) |
-1 |
| 28. |
lim(
 (1-cos(X))/X,
X, 0, -1 ) |
(2)/2 |
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