Question

Evaluate the limit. Shown above

a.
4
b.
2
c.
1
d.
limit does not exist


Please select the best answer from the choices provided

a) A
b) B
c) C
d) D

Answer 1

d. limit does not exist.

Explanation:

The given limit is

lim (8n^2 + 5n + 2) ÷ (3 + 2n)

n---->∞

Here the degree of the numerator is 2 and the degree of the denominator is 1.

If the degree of the numerator is greater than the degree of the denominator when limit tends to infinity, we get infinity in other words the limit does not exist.

Here the degree of the numerator is greater than the degree of the denominator.

Therefore, answer is d. limit does not exist.

Hope this will help you understand the concept.