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National
Medium
Calculus
10–12
What is
lim
x
→
0
x
+
4
−
2
x
\lim_{x \to 0} \frac{\sqrt{x + 4} - 2}{x}
lim
x
→
0
x
x
+
4
−
2
?
Qual é
lim
x
→
0
x
+
4
−
2
x
\lim_{x \to 0} \frac{\sqrt{x + 4} - 2}{x}
lim
x
→
0
x
x
+
4
−
2
?
Answer options
A.
1
2
\frac{1}{2}
2
1
B.
0
0
0
C.
1
4
\frac{1}{4}
4
1
D.
2
2
2
Check Answer
Solution
Step 1 of 3
1.
The quotient is indeterminate of the form
0
0
\frac{0}{0}
0
0
, so multiply by the conjugate
x
+
4
+
2
\sqrt{x + 4} + 2
x
+
4
+
2
.
Next step
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