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Question 8 - Week 8 Practice | Prasnya
Q8
00:00
1 Dec 2024
Q8.
Consider the following function:
f
(
x
)
=
{
sin
x
x
,
x
≠
0
,
1
,
x
=
0.
f(x)=\begin{cases}\frac{\sin x}{x}, & x\ne0,\\ 1, & x=0.\end{cases}
f
(
x
)
=
{
x
s
i
n
x
,
1
,
x
=
0
,
x
=
0.
Which of the following option(s) is/are true about
f
(
x
)
f(x)
f
(
x
)
?
A
f
f
f
is differentiable for all
x
∈
R
x\in\mathbb{R}
x
∈
R
.
B
f
f
f
is not differentiable at
x
=
0
x=0
x
=
0
.
C
f
f
f
is differentiable at
x
=
0
x=0
x
=
0
and
f
′
(
0
)
=
0
f'(0)=0
f
′
(
0
)
=
0
.
D
f
f
f
is differentiable at
x
=
0
x=0
x
=
0
and
f
′
(
0
)
=
1
f'(0)=1
f
′
(
0
)
=
1
.
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Check
Details
Q8
00:00
1 Dec 2024
Q8.
Consider the following function:
f
(
x
)
=
{
sin
x
x
,
x
≠
0
,
1
,
x
=
0.
f(x)=\begin{cases}\frac{\sin x}{x}, & x\ne0,\\ 1, & x=0.\end{cases}
f
(
x
)
=
{
x
s
i
n
x
,
1
,
x
=
0
,
x
=
0.
Which of the following option(s) is/are true about
f
(
x
)
f(x)
f
(
x
)
?
A
f
f
f
is differentiable for all
x
∈
R
x\in\mathbb{R}
x
∈
R
.
B
f
f
f
is not differentiable at
x
=
0
x=0
x
=
0
.
C
f
f
f
is differentiable at
x
=
0
x=0
x
=
0
and
f
′
(
0
)
=
0
f'(0)=0
f
′
(
0
)
=
0
.
D
f
f
f
is differentiable at
x
=
0
x=0
x
=
0
and
f
′
(
0
)
=
1
f'(0)=1
f
′
(
0
)
=
1
.
Save
Check
Details
