Limits of Sequences - Mix I | math4u.vsb.cz

Submitted by vladimir.arzt on Wed, 08/28/2024 - 13:06

Project ID:

7100000068

Accepted:

SubArea:

Limit of a sequence

Type:

Layout:

Question:

Match the given sequences with their limits (proper or improper).

Question 1:

{(\frac{- 10}{0.1})}_{n = 1}^{\infty}

Answer 1:

- 100

Question 2:

{(99 + {0.99}^{n})}_{n = 1}^{\infty}

Answer 2:

99

Question 3:

{(\frac{0.01 n}{100})}_{n = 1}^{\infty}

Answer 3:

\infty

Question 4:

{(\frac{(- 0.5)^{n} + 50}{0.5})}_{n = 1}^{\infty}

Answer 4:

100

Question 5:

{(100 - 0.01 n)}_{n = 1}^{\infty}

Answer 5:

- \infty

Question 6:

{(\frac{n^{2} + {0.5}^{n}}{(n + 0.5)^{2}})}_{n = 1}^{\infty}

Answer 6:

1

Question 7:

{(\frac{- 100}{0.01 n})}_{n = 1}^{\infty}

Answer 7:

0

Question 8:

{((- 1)^{n} {(\frac{99}{100})}^{n} - 99)}_{n = 1}^{\infty}

Answer 8:

- 99

Question 9:

{(\frac{4^{n} + 5^{n}}{9^{n}} - 1)}_{n = 1}^{\infty}

Answer 9:

- 1