Question

Evaluate the limit. Shown above

a.
7/3
b.
2
c.
1/3
d.
limit does not exist


Please select the best answer from the choices provided

A
B
C
D

Answer 1

`\displaystyle\lim_(n\to\infty)(6n^2+5)/(3n^2)=\lim_(n\to\infty)2+\frac5{3n^2}`

As
`n\to\infty`, the
`\frac5{3n^2}` term will converge to 0, so the limit is 2 (B).