Question

Evaluate the limit. Shown above

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


Please select the best answer from the choices provided

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

Answer 1

`\displaystyle\lim_(n\to\infty)(n^3-2)/(n^2)=\lim_(n\to\infty)n-\frac2{n^2}`

As
`n\to\infty`, the
`\frac2{n^2}` term will converge to 0. The remaining term
`n` will diverge to infinity, so the limit does not exist (D).