Zbadaj ciągłość funkcji w danych punktach. Tren: Zbadaj, czy funkcja f(x)= lim_n→∞ ^3nx+4_nx+2, gdzie x∊R, jest ciągła w punktach −1, 0, 1. Nie chodzi mi jedynie o rozwiązanie, ale przede wszystkim o wytłumaczenie, dlaczego tak, a nie inaczej.

Jack:

	3nx + 4		4   n(3x + )   n
lim		= lim		= 3
	nx+2		2   n(x+ )   n

n−>∞

Jack:

	−3n+4
f(−1) = lim		= 3 <−−jest ciagla.
	−n+2

	4
f(0) = lim		= 2
	2

	3n+4
f(1) = lim		= 3 <−−jest ciagla
	n+2

f(x) = 3 dla kazdego x ∊ R \ {0} f(0) = 2 dla x = 0, zatem w tym punkcie nie jest ciagla

Jack:

bj;: j;kl

bj;: ;jjhlohug

bj;: uop kgfnbpyvcoiuj

bj;: fypok8gui0jc, fxdgn fgko0pl[;'

bj;: fgnb80pkohi[l fgcx8td0p[;'7fgt7cdxr8py xcdt7nb80pkohi[l fgcx8td0p[;'7fgt7cdxr8py xcdt7nb80pkohi[l fgcx8td0p[;'7fgt7cdxr8py xcdt7nb80pkohi[l fgcx8td0p[;'7fgt7cdxr8py xcdt7nb80pkohi[l fgcx8td0p[;'7fgt7cdxr8py xcdt7nb80pkohi[l fgcx8td0p[;'7fgt7cdxr8py xcdt7nb80pkohi[l fgcx8td0p[;'7fgt7cdxr8py xcdt7nb80pkohi[l fgcx8td0p[;'7fgt7cdxr8py xcdt7nb80pkohi[l fgcx8td0p[;'7fgt7cdxr8py xcdt7nb80pkohi[l fgcx8td0p[;'7fgt7cdxr8py xcdt7nb80pkohi[l fgcx8td0p[;'7fgt7cdxr8py xcdt7nb80pkohi[l fgcx8td0p[;'7fgt7cdxr8py xcdt7nb80pkohi[l fgcx8td0p[;'7fgt7cdxr8py xcdt7nb80pkohi[l fgcx8td0p[;'7fgt7cdxr8py xcdt7nb80pkohi[l fgcx8td0p[;'7fgt7cdxr8py xcdt7nb80pkohi[l fgcx8td0p[;'7fgt7cdxr8py xcdt7nb80pkohi[l fgcx8td0p[;'7fgt7cdxr8py xcdt7nb80pkohi[l fgcx8td0p[;'7fgt7cdxr8py xcdt7nb80pkohi[l fgcx8td0p[;'7fgt7cdxr8py xcdt7nb80pkohi[l fgcx8td0p[;'7fgt7cdxr8py xcdt7nb80pkohi[l fgcx8td0p[;'7fgt7cdxr8py xcdt7nb80pkohi[l fgcx8td0p[;'7fgt7cdxr8py xcdt7nb80pkohi[l fgcx8td0p[;'7fgt7cdxr8py xcdt7nb80pkohi[l fgcx8td0p[;'7fgt7cdxr8py xcdt7nb80pkohi[l fgcx8td0p[;'7fgt7cdxr8py xcdt7nb80pkohi[l fgcx8td0p[;'7fgt7cdxr8py xcdt7nb80pkohi[l fgcx8td0p[;'7fgt7cdxr8py xcdt7nb80pkohi[l fgcx8td0p[;'7fgt7cdxr8py xcdt7nb80pkohi[l fgcx8td0p[;'7fgt7cdxr8py xcdt7nb80pkohi[l fgcx8td0p[;'7fgt7cdxr8py xcdt7nb80pkohi[l fgcx8td0p[;'7fgt7cdxr8py xcdt7nb80pkohi[l fgcx8td0p[;'7fgt7cdxr8py xcdt7nb80pkohi[l fgcx8td0p[;'7fgt7cdxr8py xcdt7nb80pkohi[l fgcx8td0p[;'7fgt7cdxr8py xcdt7nb80pkohi[l fgcx8td0p[;'7fgt7cdxr8py xcdt7nb80pkohi[l fgcx8td0p[;'7fgt7cdxr8py xcdt7nb80pkohi[l fgcx8td0p[;'7fgt7cdxr8py xcdt7nb80pkohi[l fgcx8td0p[;'7fgt7cdxr8py xcdt7nb80pkohi[l fgcx8td0p[;'7fgt7cdxr8py xcdt7nb80pkohi[l fgcx8td0p[;'7fgt7cdxr8py xcdt7nb80pkohi[l fgcx8td0p[;'7fgt7cdxr8py xcdt7nb80pkohi[l fgcx8td0p[;'7fgt7cdxr8py xcdt7nb80pkohi[l fgcx8td0p[;'7fgt7cdxr8py xcdt7nb80pkohi[l fgcx8td0p[;'7fgt7cdxr8py xcdt7nb80pkohi[l fgcx8td0p[;'7fgt7cdxr8py xcdt7nb80pkohi[l fgcx8td0p[;'7fgt7cdxr8py xcdt7nb80pkohi[l fgcx8td0p[;'7fgt7cdxr8py xcdt7nb80pkohi[l fgcx8td0p[;'7fgt7cdxr8py xcdt7nb80pkohi[l fgcx8td0p[;'7fgt7cdxr8py xcdt7nb80pkohi[l fgcx8td0p[;'7fgt7cdxr8py xcdt7nb80pkohi[l fgcx8td0p[;'7fgt7cdxr8py xcdt7nb80pkohi[l fgcx8td0p[;'7fgt7cdxr8py xcdt7nb80pkohi[l fgcx8td0p[;'7fgt7cdxr8py xcdt7nb80pkohi[l fgcx8td0p[;'7fgt7cdxr8py xcdt7nb80pkohi[l fgcx8td0p[;'7fgt7cdxr8py xcdt7nb80pkohi[l fgcx8td0p[;'7fgt7cdxr8py xcdt7nb80pkohi[l fgcx8td0p[;'7fgt7cdxr8py xcdt7nb80pkohi[l fgcx8td0p[;'7fgt7cdxr8py xcdt7nb80pkohi[l fgcx8td0p[;'7fgt7cdxr8py xcdt7nb80pkohi[l fgcx8td0p[;'7fgt7cdxr8py xcdt7nb80pkohi[l fgcx8td0p[;'7fgt7cdxr8py xcdt7nb80pkohi[l fgcx8td0p[;'7fgt7cdxr8py xcdt7nb80pkohi[l fgcx8td0p[;'7fgt7cdxr8py xcdt7nb80pkohi[l fgcx8td0p[;'7fgt7cdxr8py xcdt7nb80pkohi[l fgcx8td0p[;'7fgt7cdxr8py xcdt7nb80pkohi[l fgcx8td0p[;'7fgt7cdxr8py xcdt7nb80pkohi[l fgcx8td0p[;'7fgt7cdxr8py xcdt7nb80pkohi[l fgcx8td0p[;'7fgt7cdxr8py xcdt7nb80pkohi[l fgcx8td0p[;'7fgt7cdxr8py xcdt7nb80pkohi[l fgcx8td0p[;'7fgt7cdxr8py xcdt7nb80pkohi[l fgcx8td0p[;'7fgt7cdxr8py xcdt7nb80pkohi[l fgcx8td0p[;'7fgt7cdxr8py xcdt7nb80pkohi[l fgcx8td0p[;'7fgt7cdxr8py xcdt7nb80pkohi[l fgcx8td0p[;'7fgt7cdxr8py xcdt7nb80pkohi[l fgcx8td0p[;'7fgt7cdxr8py xcdt7nb80pkohi[l fgcx8td0p[;'7fgt7cdxr8py xcdt7nb80pkohi[l fgcx8td0p[;'7fgt7cdxr8py xcdt7nb80pkohi[l fgcx8td0p[;'7fgt7cdxr8py xcdt7nb80pkohi[l fgcx8td0p[;'7fgt7cdxr8py xcdt7nb80pkohi[l fgcx8td0p[;'7fgt7cdxr8py xcdt7nb80pkohi[l fgcx8td0p[;'7fgt7cdxr8py xcdt7nb80pkohi[l fgcx8td0p[;'7fgt7cdxr8py xcdt7nb80pkohi[l fgcx8td0p[;'7fgt7cdxr8py xcdt7nb80pkohi[l fgcx8td0p[;'7fgt7cdxr8py xcdt7nb80pkohi[l fgcx8td0p[;'7fgt7cdxr8py xcdt7nb80pkohi[l fgcx8td0p[;'7fgt7cdxr8py xcdt7nb80pkohi[l fgcx8td0p[;'7fgt7cdxr8py xcdt7nb80pkohi[l fgcx8td0p[;'7fgt7cdxr8py xcdt7nb80pkohi[l fgcx8td0p[;'7fgt7cdxr8py xcdt7nb80pkohi[l fgcx8td0p[;'7fgt7cdxr8py xcdt7nb80pkohi[l fgcx8td0p[;'7fgt7cdxr8py xcdt7nb80pkohi[l fgcx8td0p[;'7fgt7cdxr8py xcdt7nb80pkohi[l fgcx8td0p[;'7fgt7cdxr8py xcdt7nb80pkohi[l fgcx8td0p[;'7fgt7cdxr8py xcdt7nb80pkohi[l fgcx8td0p[;'7fgt7cdxr8py xcdt7nb80pkohi[l fgcx8td0p[;'7fgt7cdxr8py xcdt7nb80pkohi[l fgcx8td0p[;'7fgt7cdxr8py xcdt7nb80pkohi[l fgcx8td0p[;'7fgt7cdxr8py xcdt7nb80pkohi[l fgcx8td0p[;'7fgt7cdxr8py xcdt7nb80pkohi[l fgcx8td0p[;'7fgt7cdxr8py xcdt7nb80pkohi[l fgcx8td0p[;'7fgt7cdxr8py xcdt7nb80pkohi[l fgcx8td0p[;'7fgt7cdxr8py xcdt7nb80pkohi[l fgcx8td0p[;'7fgt7cdxr8py xcdt7nb80pkohi[l fgcx8td0p[;'7fgt7cdxr8py xcdt7nb80pkohi[l fgcx8td0p[;'7fgt7cdxr8py xcdt7nb80pkohi[l fgcx8td0p[;'7fgt7cdxr8py xcdt7nb80pkohi[l fgcx8td0p[;'7fgt7cdxr8py xcdt7nb80pkohi[l fgcx8td0p[;'7fgt7cdxr8py xcdt7nb80pkohi[l fgcx8td0p[;'7fgt7cdxr8py xcdt7nb80pkohi[l fgcx8td0p[;'7fgt7cdxr8py xcdt7nb80pkohi[l fgcx8td0p[;'7fgt7cdxr8py xcdt7nb80pkohi[l fgcx8td0p[;'7fgt7cdxr8py xcdt7nb80pkohi[l fgcx8td0p[;'7fgt7cdxr8py xcdt7nb80pkohi[l fgcx8td0p[;'7fgt7cdxr8py xcdt7nb80pkohi[l fgcx8td0p[;'7fgt7cdxr8py xcdt7nb80pkohi[l fgcx8td0p[;'7fgt7cdxr8py xcdt7nb80pkohi[l fgcx8td0p[;'7fgt7cdxr8py xcdt7nb80pkohi[l fgcx8td0p[;'7fgt7cdxr8py xcdt7nb80pkohi[l fgcx8td0p[;'7fgt7cdxr8py xcdt7nb80pkohi[l fgcx8td0p[;'7fgt7cdxr8py xcdt7nb80pkohi[l fgcx8td0p[;'7fgt7cdxr8py xcdt7nb80pkohi[l fgcx8td0p[;'7fgt7cdxr8py xcdt7nb80pkohi[l fgcx8td0p[;'7fgt7cdxr8py xcdt7nb80pkohi[l fgcx8td0p[;'7fgt7cdxr8py xcdt7nb80pkohi[l fgcx8td0p[;'7fgt7cdxr8py xcdt7nb80pkohi[l fgcx8td0p[;'7fgt7cdxr8py xcdt7nb80pkohi[l fgcx8td0p[;'7fgt7cdxr8py xcdt7nb80pkohi[l fgcx8td0p[;'7fgt7cdxr8py xcdt7nb80pkohi[l fgcx8td0p[;'7fgt7cdxr8py xcdt7nb80pkohi[l fgcx8td0p[;'7fgt7cdxr8py xcdt7nb80pkohi[l fgcx8td0p[;'7fgt7cdxr8py xcdt7nb80pkohi[l fgcx8td0p[;'7fgt7cdxr8py xcdt7nb80pkohi[l fgcx8td0p[;'7fgt7cdxr8py xcdt7nb80pkohi[l fgcx8td0p[;'7fgt7cdxr8py xcdt7nb80pkohi[l fgcx8td0p[;'7fgt7cdxr8py xcdt7nb80pkohi[l fgcx8td0p[;'7fgt7cdxr8py xcdt7nb80pkohi[l fgcx8td0p[;'7fgt7cdxr8py xcdt7nb80pkohi[l fgcx8td0p[;'7fgt7cdxr8py xcdt7nb80pkohi[l fgcx8td0p[;'7fgt7cdxr8py xcdt7nb80pkohi[l fgcx8td0p[;'7fgt7cdxr8py xcdt7nb80pkohi[l fgcx8td0p[;'7fgt7cdxr8py xcdt7nb80pkohi[l fgcx8td0p[;'7fgt7cdxr8py xcdt7nb80pkohi[l fgcx8td0p[;'7fgt7cdxr8py xcdt7nb80pkohi[l fgcx8td0p[;'7fgt7cdxr8py xcdt7nb80pkohi[l fgcx8td0p[;'7fgt7cdxr8py xcdt7nb80pkohi[l fgcx8td0p[;'7fgt7cdxr8py xcdt7nb80pkohi[l fgcx8td0p[;'7fgt7cdxr8py xcdt7nb80pkohi[l fgcx8td0p[;'7fgt7cdxr8py xcdt7nb80pkohi[l fgcx8td0p[;'7fgt7cdxr8py xcdt7nb80pkohi[l fgcx8td0p[;'7fgt7cdxr8py xcdt7nb80pkohi[l fgcx8td0p[;'7fgt7cdxr8py xcdt7nb80pkohi[l fgcx8td0p[;'7fgt7cdxr8py xcdt7nb80pkohi[l fgcx8td0p[;'7fgt7cdxr8py xcdt7nb80pkohi[l fgcx8td0p[;'7fgt7cdxr8py xcdt7nb80pkohi[l fgcx8td0p[;'7fgt7cdxr8py xcdt7nb80pkohi[l fgcx8td0p[;'7fgt7cdxr8py xcdt7