Question:

The coefficient of xn in the expansion of e7x+exe3x is

Updated On: Aug 1, 2023
  • (A) 4n−1−(−2)n−1⌊n
  • (B) 4n−1−2n−1⌊n
  • (C) 4n−2n⌊n
  • (D) 4n+(−2)n⌊n
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The Correct Option is D

Solution and Explanation

Explanation:
e7x+eπe3x=e4x+e−2xCo-efficient of xn(4)nn!+(2)nn!(−1)n=4n+(−2)nn!
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