Question 26 - Week 8 Practice | Prasnya
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Quiz 2
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Mathematics 1
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Week 8
Question 26
00:00
Est. 3 min
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Passage
Consider three differentiable functions
f
(
x
)
f(x)
,
g
(
x
)
g(x)
and
h
(
x
)
h(x)
such that
f
(
x
)
=
g
(
2
x
2
+
x
)
h
(
3
x
3
+
x
)
f(x)=g(2x^2+x)h(3x^3+x)
,
g
′
(
0
)
=
g
(
0
)
=
3
g'(0)=g(0)=3
, and
h
′
(
0
)
=
h
(
0
)
=
1
h'(0)=h(0)=1
. Use this information to answer the subquestions.
Question
Find the value of
f
′
(
0
)
g
(
0
)
+
lim
x
→
0
f
(
x
)
+
lim
x
→
0
g
(
x
)
+
lim
x
→
0
h
(
x
)
\frac{f'(0)}{g(0)}+\lim_{x\to0}f(x)+\lim_{x\to0}g(x)+\lim_{x\to0}h(x)
.
Comprehension
Medium Difficulty
06 August 2023
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