Project ID:
7100000061
Accepted:
Type:
Layout:
Question:
Match the given sequences with their limits (proper or improper).
Question 1:
$$\left(\frac{-3n}{2n+3}\right)_{n=1}^{\infty}$$
Answer 1:
$$-\frac32$$
Question 2:
$$\left(\frac{-3n+2n^5}{3^5-3n^3+2n}\right)_{n=1}^{\infty}$$
Answer 2:
$$\frac23$$
Question 3:
$$\left(\frac{2n^6}{(3n^4-2)(3-n^2)}\right)_{n=1}^{\infty}$$
Answer 3:
$$-\frac23$$
Question 4:
$$\left(\frac{2-3n}{3-2n}\right)_{n=1}^{\infty}$$
Answer 4:
$$\frac32$$
Question 5:
$$\left(\frac{3n^3}{n-2n^2}\right)_{n=1}^{\infty}$$
Answer 5:
$$-\infty$$
Question 6:
$$\left(\frac{(3n^4-2)(2+n^3)}{(2n^4-3)(3+n^2)}\right)_{n=1}^{\infty}$$
Answer 6:
$$\infty$$
Question 7:
$$\left(\frac{(3n^4-2)(2+n)}{(2n^4-3)(3-n^2)}\right)_{n=1}^{\infty}$$
Answer 7:
$$0$$
Question 8:
$$\left(\frac{3n^2}{(3n+3)2n}\right)_{n=1}^{\infty}$$
Answer 8:
$$\frac12$$
Question 9:
$$\left(\frac{-3n^2}{(2+2n)3n}\right)_{n=1}^{\infty}$$
Answer 9:
$$-\frac12$$