Project ID:
7100000068
Accepted:
Typ:
Layout:
Question:
Přiřaďte dané posloupnosti k jejich limitám (vlastním nebo nevlastním).
Question 1:
$$\left(\frac{-10}{0{,}1}\right)_{n=1}^{\infty}$$
Answer 1:
$$-100$$
Question 2:
$$\left(99+0{,}99^n\right)_{n=1}^{\infty}$$
Answer 2:
$$99$$
Question 3:
$$\left(\frac{0{,}01n}{100}\right)_{n=1}^{\infty}$$
Answer 3:
$$\infty$$
Question 4:
$$\left(\frac{(-0{,}5)^n+50}{0{,}5}\right)_{n=1}^{\infty}$$
Answer 4:
$$100$$
Question 5:
$$\left(100-0{,}01n\right)_{n=1}^{\infty}$$
Answer 5:
$$-\infty$$
Question 6:
$$\left(\frac{n^2+0{,}5^n}{(n+0{,}5)^2}\right)_{n=1}^{\infty}$$
Answer 6:
$$1$$
Question 7:
$$\left(\frac{-100}{0{,}01n}\right)_{n=1}^{\infty}$$
Answer 7:
$$0$$
Question 8:
$$\left((-1)^n\left(\frac{99}{100}\right)^n-99\right)_{n=1}^{\infty}$$
Answer 8:
$$-99$$
Question 9:
$$\left(\frac{4^n+5^n}{9^n}-1\right)_{n=1}^{\infty}$$
Answer 9:
$$-1$$