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Byju's Answer
Standard VII
Mathematics
Permutation under restriction
The infinite ...
Question
The infinite series
1
+
x
+
x
2
2
!
+
x
3
3
!
+
x
4
4
!
+
x
5
5
!
+
.
.
.
corresponding to
A
s
e
c
x
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B
e
x
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C
c
o
s
x
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D
1
+
s
i
n
2
x
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Solution
The correct option is
B
e
x
e
x
=
1
+
x
+
x
2
2
!
+
x
3
3
!
+....
Suggest Corrections
4
Similar questions
Q.
Five real numbers
x
1
,
x
2
,
x
3
,
x
4
,
x
5
are such that:
√
x
1
−
1
+
2
√
x
2
−
4
+
3
√
x
3
−
9
+
4
√
x
4
−
16
+
5
√
x
5
−
25
=
x
1
+
x
2
+
x
3
+
x
4
+
x
5
2
The value of
x
1
+
x
2
+
x
3
+
x
4
+
x
5
2
is
Q.
∫
(
x
+
x
2
+
x
3
+
x
4
)
dx is equal to
Q.
1
2
x
2
+
2
3
x
3
+
3
4
x
4
+
4
5
x
5
+
…
…
=
Q.
The infinite series
f
(
x
)
=
x
−
x
3
3
!
+
x
5
5
!
−
x
7
7
!
+
.
.
.
.
+
∞
converges to
Q.
Solution to the differential equation
x
+
x
3
3
!
+
x
5
5
!
+
.
.
.
.
.
1
+
x
2
2
!
+
x
4
4
!
+
.
.
.
.
.
=
d
x
−
d
y
d
x
+
d
y
is
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