| tgx | ||
a) lim x→0 | ||
| x2 + x |
| sinx | ||
b) lim x→∞ | ||
| x |
| x + 3 | ||
d) lim x→∞ ( | )2x | |
| x |
to
| tgx |
| 1 | ||||||||||
a) limx→0 | = limx→0 | = | = 1 , | |||||||||
| x2+x | x+1 | 1 |
| sinx | 1 | 1 | ||||
b) |sinx|≤ 1 ⇒ limx→∞ | ≤ limx→∞ | = [ | ] = 0 , . ... | |||
| x | x | ∞ |
| 1 | 1 | |||
c) | = | −> −∞ | ||
| 1−1+ | 0− |
d) granica 'eulera' którą ćwiczyliśmy jakiś czas temu