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The (n+1) the term in the expansion of e...

The `(n+1)` the term in the expansion of `e^(5)` is

A

`5!`

B

`5^(n)`

C

`5^(n)//n`

D

`5^(n)//n!`

Text Solution

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The correct Answer is:
D
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DIPTI PUBLICATION ( AP EAMET)-EXPONENTIAL SERIES & LOGARITHMIC SERIES (APPENDIX-1)-EXERCISE 1A
  1. (e^(5x)+e^(x))/(e^(3x))=

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  2. (e^(7x)-e^(x))/(e^(4x))=

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  3. The (n+1) the term in the expansion of e^(5) is

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  4. The (n+1) the term in the expansion of e^(4x) is

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  5. The 12th term in the expansion of e^(-3) is

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  6. The (n+1)th term in the expansion of e^(-2) is

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  7. The (n+1)th term in the expansion of e^(-3x) is

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  8. The coefficient of x^(8) in the expansion of e^(3x) is

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  9. The coefficient of x^(2) in the expansion of e^(2x+3) is

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  10. The coefficent of x^(n) in the expansion of (1-x)e^(x) is

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  11. (1)/(e^(3x))(e^(x)+e^(5x))=a(0)+a(1)x+a(2)x^(2)+....implies2a(1)+2^(3)...

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  12. The coefficient of x^(n) in the expansion of (e^(7x)+e^(x))/(e^(3x)) i...

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  13. The coefficient of x^(n) in the expansion of (1+ax+x^(2))/(e^(x)) is

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  14. The coefficient of x^(n) in the expansion of (2+3x)(e^(-3x)) is

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  15. Coefficicent of x^(10) in the expansion of (2+3x)e^(-x) is

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  16. The coefficient of x^(n) in (1-2x)/(e^(x)) is

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  17. The coefficient of x^(5) in the expansion of (1-2x+3x^(2))/(e^(x)) is

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  18. The coefficient of x^(k) in the expansion of (1-2x-x^(2))/(e^(-x)) is

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  19. The coefficient of x^(n) in (1+x)/(1!)+((1+x)^(2))/(2!)+((1+x)^(3))/(3...

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  20. The coefficient of x^(n) in 1+(ax+b)+((ax+b)^(2))/(2!)+((ax+b)^(3))/(3...

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