Question 28 - Week 8 Practice | Prasnya
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Exam
Quiz 2
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Mathematics 1
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Week 8
Question 28
00:00
Est. 2 min
Marks:
+5.00
0.00
Passage
Consider the function
f
(
x
)
=
e
∣
x
∣
f(x)=e^{|x|}
. Use this information to answer the given subquestions.
Question
Which of the following options is/are true?
Comprehension
Medium Difficulty
02 April 2023
A
f
(
x
)
f(x)
is differentiable at
x
=
0
x=0
.
B
lim
x
→
0
f
(
x
)
\lim_{x\to0}f(x)
exists.
C
f
(
x
)
f(x)
is continuous in its domain.
D
lim
x
→
0
f
′
(
x
)
=
0
\lim_{x\to0}f'(x)=0
.
