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National
Hard
Sequences
10–12
What is
lim
(
n
2
+
3
n
−
n
)
\lim\left(\sqrt{n^{2} + 3n} - n\right)
lim
(
n
2
+
3
n
−
n
)
?
Qual é
lim
(
n
2
+
3
n
−
n
)
\lim\left(\sqrt{n^{2} + 3n} - n\right)
lim
(
n
2
+
3
n
−
n
)
?
Answer options
A.
0
0
0
B.
+
∞
+\infty
+
∞
C.
3
3
3
D.
3
2
\frac{3}{2}
2
3
Check Answer
Solution
Step 1 of 3
1.
The difference is indeterminate of the form
∞
−
∞
\infty - \infty
∞
−
∞
, so multiply and divide by
n
2
+
3
n
+
n
\sqrt{n^{2} + 3n} + n
n
2
+
3
n
+
n
.
Next step
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