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Standard XI
Maths
General and Middle terms
Question
Find the coefficient of:
$$x^{m}$$ in the expansion of $$\left(x+\dfrac{1}{x}\right)^{n}$$
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Solution
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Similar Questions
Q1
Find the coefficient of
x
n
in the expansion of
(
1
+
x
)
(
1
−
x
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n
.
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Q2
Find the coefficient of
x
n
in the expansion of
2
+
x
+
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2
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3
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Q3
Prove that the coefficient of
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(
1
+
x
)
m
+
2
(
1
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x
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n
−
1
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3
(
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+
x
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n
−
2
+
(
n
−
m
+
1
)
(
1
+
x
)
m
where
0
≥
m
≥
n
i
s
n
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2
C
m
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2
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Q4
The ratio of the coefficients of x
m
and x
n
in the expansion of (1 + x)
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Q5
If
′
a
′
and
′
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′
are the respective coefficient of
x
m
and
x
n
in the expansion of
(
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+
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m
+
n
, then
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