find the range of X for which the following expansion are valid
[2-3x/4]^-15/4
and
[3+5x²/3]^-3/7
and
[4-x/3]^-1/2
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S=(1+5
2
x)
9
+(1−5
2
x)
9
Let k=5
2
Then the above binomial expansion changes to
S=(1+k)
9
+(1−k)
9
=[1+
9
C
1
k+
9
C
2
k
2
+...
9
C
9
k
9
]+[1−
9
C
1
k+
9
C
2
k
2
−
9
C
3
k
3
...−
9
C
9
k
9
]
=2[1+
9
C
2
k
2
+
9
C
4
k
4
+
9
C
6
k
6
+
9
C
8
k
8
]
Hence in total 5 terms will be there.
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