Evaluate the limit

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

select the best answer from the choices provided

a
b
c
d

d.limit does not exist

Step-by-step explanation:

Given is the sequence

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.

or

step-by-step explanation:

we need to solve for 'x' the following equation:  

we have that:

⇒

⇒ ⇒

factorizing, we get that:

  ⇒

then, the solutions are: or

nothing extraneous has been found!