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JEE MATHEMATICS MCQ: SEQUENCE OF SERIES

1 Hard
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Application +4 | -1
The coefficient of xn{x^n} in the expansion of e7  x+exe3  x,\frac{{{e^{7\;x}} + {e^x}}}{{{e^{3\;x}}}}, is
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Correct option: D
None of these
Option D (None of these) is correct because the coefficient of x^n in the expansion is 4n+(−2)nn;!\frac{{{{4^n}} + {{\left( { - 2} \right)}^n}}}{{n\\;!}}, which doesn't match any of the given options.

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