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Wize High School Grade 12 Calculus Textbook > Rate of Change
Extra Thinking Questions
Practice: Tricky $\frac{0}{0}$ Limit
Practice: Tricky $\frac{0}{0}$ Limit
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Practice: Tricky 0/0 Limit
If
lim
x
→
2
4
−
2
f
(
x
)
2
−
x
\displaystyle\lim_{x\ \rightarrow2}\ \frac{4-2\ f\left(x\right)}{2-x}
x
→
2
lim
2
−
x
4
−
2
f
(
x
)
is defined, what is the value of
lim
x
→
2
f
(
x
)
\displaystyle\lim_{x\ \rightarrow2}\ \ f\left(x\right)
x
→
2
lim
f
(
x
)
?
a.
1
1
1
b.
2
2
2
c.
4
4
4
d.
−
2
-2
−
2
e.
∞
\infty
∞
I don't know
Check Submission
Practice: Tricky 0/0 Limit
Evaluate
lim
x
→
0
3
x
+
2
−
4
x
+
2
2
x
+
1
−
x
+
1
\displaystyle \lim_{x\to0}\ \frac{\sqrt{3x+2}-\ \sqrt{4x+2}}{\sqrt{2x+1}-\sqrt{x+1}}
x
→
0
lim
2
x
+
1
−
x
+
1
3
x
+
2
−
4
x
+
2
Enter the exact value of the limit, or DNE if the limit does not exist
I don't know
Check Submission