Question

Evaluate the limit

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


Please select the best answer from the choices provided

A
B
C
D

Answer 1

The correct answer is B.

Explanation:

A has a limit of 1/2 or 0.5

B has no limit.

C has a limit of -6

D has a limit of -2

I did the math :)

Answer 2

d.limit does not exist

Explanation:

Given is the sequence

`(8n^(2) +5n+2)/(3+2n) \\`

We have to find the limit as n tends to infinity.

We find that the exponent of numerator is 2 and denominator is 1.

Hence when n becomes large, and approaches infinity, we see that the denominator will tend to infinity slower than the numerator. Hence net effect would be limit as n tends to infinity is undefined or does not exist or infinite.

Hence appropriate answer is option d

Limit does not exist.