1) Lim x->3 x^2-5x+6/x^2-9 2) Lim x->oo 1-2x^2/x^2+4x 3) Lim x->oo 1-√1-x^2/x^2. Created by Aireg. matematika-ru

x^2...

Aireg @Aireg

September 2021 1 11 Report

1) Lim x->3 x^2-5x+6/x^2-9

2) Lim x->oo 1-2x^2/x^2+4x

3) Lim x->oo 1-√1-x^2/x^2

Answers & Comments

IrkaShevko

Verified answer

$\lim_{x \to3} \frac{x^2-5x+6}{x^2-9} =[ \frac{0}{0} ]= \lim_{x \to3} \frac{(x-2)(x-3)}{(x+3)(x-3)} = \lim_{x \to3} \frac{x-2}{x+3}= \frac{3-2}{3+3} = \frac{1}{6}\\
 \lim_{x \to \infty} \frac{1-2x^2}{x^2+4x} = \lim_{x \to \infty} \frac{x^2( \frac{1}{x^2} -2)}{x^2(1+ \frac{4}{x}) } = \lim_{x \to \infty} \frac{-2+ \frac{1}{x^2} }{1+ \frac{4}{x}} = \frac{-2+0}{1+0} =-2$

третье непонятно, если уточните условие, то добавлю

2 votes Thanks 2

Aireg Под корнем?

Answers & Comments

Verified answer

trigonometricheskie uravneniya 4cos2xsin2x1

sovershenno ne ponimayu trigonometriyu pomogite pozhalujsta 4cos2x11cosx 30

y=2x^8-3x^6+2x^5-4x-6...

proizvodnuyu fx3x22x 1x3 1

vychislite integral snizu 0 sverhu 4 4 x3 dx

v pravilnoj treugolnoj prizme storona osnovaniya ravna 9 dm a vysota 11 dm na

x2 3x 5 x gtbeskonechnost

imeyutsya svedeniya o vklade v sberbank chislo vkladov 15 tys summa vklada 420

рекомендуемые вопросы

Helpful Links

Helpful Social