Evaluate the limit shown above a. 9/2 b. 3 c. 7/2 d. limit does not exist select the best answer from the choices provided a) a b) b c) c d) d

option A 9/2

Step-by-step explanation:

limit n-> infinity (9n^3+5n-2)/ 2n^3

to plug in limit value we need to simplify the expression

we divide each term by highest exponent in the denominator

we have n^3 in the denominator

so we divide each term by 2n^3

Simplify it

now we plug in infinity for n

1/ infinity is 0

Answer is 9/2

0/5 is 0, 2/0 is undefined, and 0/0 is indeterminate.

step-by-step explanation:

hope my answer has you!