2 примера на предел. Created by dmitrijfrol201. matematika-ru

2 примера на предел...

dmitrijfrol201 @dmitrijfrol201

July 2022 1 8 Report

2 примера на предел

Answers & Comments

sangers1959

Verified answer

5.8.
lim(x→∞) (5x²-4x+2)/(4x²+2x-5).
lim(x→∞) (5-4/x+2/x²)/(4+2/x-5/x²)=(5-0+0)/(4+0-0)=5/4=1¹/₄.
6.8.
lim(x→4) -(2x²-9x+4)/(√(5-x)-√(x-3))
2x²-9x+4=2x²-8x-(x-4)=2x*(x-4)-(x-4)=(x-4)*(2x-1)=2*(x-4)*(x-0,5)
Умножим числитель и знаменатель на (√(5-х)+√(х-3)):
lim(x→4) -(2*(x-4)*(x-0,5)/((√(5-x))²-(√(x-3))²)=
=lim(x→4) -(2*(x-4)*(x-0,5))/(8-2x)=
=lim(x→4) -(2*(x-4)*(x-0,5))*(√(5-x)+√(x-3))/(-2*x-4)=
=lim(x→4) (x-0,5)*(√(5-x)+√(x-3))=(4-0,5)*(√1+√1)=3,5*2=7.

0 votes Thanks 0

Answers & Comments

Verified answer

pomogite s zadachkoj pozhalujstad3eaf7bf7cd3bc05398d194011b54c79 19797

vypolnite dejstvie 1 i

vychislite proizvodnye5b14764c61a41c2caa118d196cf5583a 40266

summa cifr chisla s 3333 333 raza 2 ravna

pomogite pozhalujsta funkciya fx opredelena na vsej chislovoj osi i dlya lyubyh x

nuzhna pomosh pust x0 y0 z0 reshenie sistemy uravnenij x2y2 2z2

pomogite pozhalujsta esli pryamye yx3 y x5 i ykx peresekayutsya v odnoj to

sokratite drob pozhalujstaa9cdd647a0999b983b232a7d72b72671 39320

tex]...

tex]...

рекомендуемые вопросы

Helpful Links

Helpful Social