Obliczyć podane granice
Monika:
1.lim e5x − 1 / 64x
x−>0
2. lim e9x−1 / sin4x
x−>0
3. lim 2x− x 2/ x−2
x−> 2
4. x2sin9x/sin7x
x−> 0
21 mar 18:05
Janek191:
1.Reguła de l' Hospitala
| e5x − 1 | | 5 e5x | | 5 | |
lim f(x) = lim |
| = lim |
| = |
| |
| 64 x | | 64 | | 64 | |
x→0 x→ 0 x→ 0
21 mar 18:58
Janek191:
2. Jak wyżej .
| e9x − 1 | | 9 e9x | | 9 | |
lim |
| = lim |
| = |
| |
| sin 4x | | 4 cos 4x | | 4 | |
x → 0 x→ 0
21 mar 19:16
Monika: 5. lim (1+tgx)1/5x
x−>0
21 mar 19:24