Question

Evaluate the limit, or state that the limit does not exist. Shown above

a.
0
b.
9/13
c.
Limit does not exist
d.
2

Please select the best answer from the choices provided

A
B
C
D

Answer 1

Simplify 2n + 7n to 9n

9n/13n

Cancel n

9/13

Answer: B. 9/13

Answer 2

For this case we have a limit.

If n tends to 0, we would have an indetermination
`\frac {0} {0}`, if not, if n tends to ∞, we would have an indetermination ∞/∞.

If we have:

`\frac {2n + 7n} {13n}`

Adding the terms of the numerator:

`\frac {9n} {13n}\\\frac {9} {13}`

Thus, the result is given by:
`\frac {9} {13}`

Answer:

Option B