04.15 kamila granice ciągu

04.15 kamila granice ciągu

10th - 12th Grade

14 Qs

quiz-placeholder

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04.15 kamila granice ciągu

04.15 kamila granice ciągu

Assessment

Quiz

Mathematics, Education

10th - 12th Grade

Medium

CCSS
HSA.APR.D.7, HSF.BF.A.2

Standards-aligned

Created by

Tomasz Wierzchowski

Used 9+ times

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14 questions

Show all answers

1.

MULTIPLE CHOICE QUESTION

3 mins • 1 pt

Ile wynosi granica ciągu  limn 2n+56n3\lim_{n\rightarrow\infty}\ \frac{2n+5}{6n-3} ?

13\frac{1}{3}

0

3

\infty

2.

MULTIPLE CHOICE QUESTION

3 mins • 1 pt

Granicą nieskończonego ciągu o wyrazie ogólnym
 an=4n2+516n2+1a_n=\sqrt{\frac{4n^2+5}{16n^2+1}}  jest liczba?

0,25

0,5

0

nie wiem

3.

MULTIPLE CHOICE QUESTION

3 mins • 1 pt

Oblicz granicę ciągu
 limn (11n3+6n+56n3+12n2+2n+23n24)\lim_{n\rightarrow\infty}\ \left(\frac{11n^3+6n+5}{6n^3+1}-\frac{2n^2+2n+2}{3n^2-4}\right)  

 93\frac{9}{3}  

 116\frac{11}{6}  

mniejszą od 1

 76\frac{7}{6}  

4.

MULTIPLE SELECT QUESTION

3 mins • 1 pt

Ciąg 
 an=(40n+2020)(n2)(2020n2)(n3)a_n=\frac{\left(40n+2020\right)\left(n-2\right)}{\left(2020n-2\right)\left(n-3\right)}  ma granicę równą:

0

pewnej liczbie wymiernej

 402020\frac{40}{2020}  

 2101\frac{2}{101}  

5.

MULTIPLE SELECT QUESTION

3 mins • 1 pt

Dla ciągu
 an=4n2+3n2na_n=\sqrt{4n^2+3n}-2n  granicą jest liczba: 

naturalna

nieujemna

0

1

6.

MULTIPLE CHOICE QUESTION

3 mins • 1 pt

Granica
 limn 2+4+6+...+2n2n21\lim_{n\rightarrow\infty}\ \frac{2+4+6+...+2n}{2n^2-1}  

nie istnieje

jest równa 0

jest równa 0,5

jest równa 2

7.

MULTIPLE CHOICE QUESTION

3 mins • 1 pt

Media Image

Podaj granicę ciągu cn przy n dążącym do nieskończoności

oo

0,5

1

-2,5

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