L'Hospitalovo pravidlo | math4u.vsb.cz

Pridané používateľom michaela.bailova dňa Št, 09/12/2024 - 15:17

Project ID:

7100020144

Accepted:

Podoblasť:

Využitie diferenciálneho počtu

Typ:

Layout:

Question:

Priraďte každú zadanú limitu k jej hodnote.

Question 1:

lim_{x \to 0} \frac{\sin x}{x}

Answer 1:

1

Question 2:

lim_{x \to 0} \frac{1 - \cos x}{x^{2}}

Answer 2:

\frac{1}{2}

Question 3:

lim_{x \to \infty} \frac{\ln x}{x}

Answer 3:

0

Question 4:

lim_{x \to 0} \frac{e^{x} - 1}{4 x}

Answer 4:

\frac{1}{4}

Question 5:

lim_{x \to 2} \frac{x^{3} - 2 x - 4}{x^{2} - 3 x + 2}

Answer 5:

$10$

Question 6:

lim_{x \to 1} \frac{x^{2} + x - 2}{\ln x}

Answer 6:

3

Question 7:

lim_{x \to \infty} \frac{2 x^{2} - x + 5}{x^{2} + x + 1}

Answer 7:

2

Question 8:

lim_{x \to \infty} \frac{e^{x} - 1}{4 x}

Answer 8:

+ \infty

Question 9:

lim_{x \to 0} \frac{x - \sin x}{x^{3}}

Answer 9:

\frac{1}{6}