Oblicz granice funkcji
Agi: x7 − 1
Lim −−−−−−−−−−−−−−−
x→1 x − 1
13 cze 22:17
Janek191:
(x7 − 1) : ( x − 1) = x6 + x5 + x4 + x3 + x2 + x + 1
− x7 +x6
−−−−−−−−−−−
x6 − 1
− x6 + x5
−−−−−−−−−−−−−−
x5 − 1
− x5 + x4
−−−−−−−−−
x4 − 1
− x4 + x3
−−−−−−−−−−
x3 − 1
− x3 + x2
−−−−−−−−−−−−−−−
x2 − 1
− x2 + x
−−−−−−−−−−−−
x − 1
− x + 1
−−−−−−
0
więc
lim f(x) = 7
x→1
13 cze 22:25