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lim(x rarr oo) x^(n)/e^(x) = 0 (n is an ...

`lim_(x rarr oo) x^(n)/e^(x) = 0` (n is an integer) for

A

no values of n

B

all values of n

C

only negative values of n

D

only positive values of n

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The correct Answer is:
B
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HIMALAYA PUBLICATION-LIMITS, CONTINUITY AND DIFFERENTIABILITY-QUESTION BANK
  1. lim(n rarr oo) ((1)/(1-n^(2)) + (2)/(1-n^(2)) +…...+(n)/(1-n^(2))) is ...

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  2. lim(x rarr oo) ((2 + x)^(40) (4 + x)^(5))/((2-x)^(45)) is :

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  3. lim(x rarr oo) x^(n)/e^(x) = 0 (n is an integer) for

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  4. If f(x) = sqrt((x-sinx)/(x+cos^(2)x)), then lim(x rarr oo) f(x) =

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  5. lim(x rarr 0) {tan (pi/4+x)}^(1/x) =

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  6. The value of lim(x rarr 0) ((1 + 5x^(2))/(1+3x^(2)))^(1//x^(2)) is :

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  7. lim(x rarr 1) (sqrt(1 - cos 2 (x - 1)))/(x -1) :

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  8. lim(x rarr 0) (sin (pi cos^(2)x))/(x^(2)) is equal to :

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  9. Let f:R toR be such that f(1)=3 and f(1)=6. Then lim(xto0)(f(1+x)/(f(1...

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  10. lim(x rarr 0) (sin nx[(a-n)nx - tan x])/(x^(2)) = 0, where n is non-ze...

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  11. lim(x rarr 0) (sqrt(1-cos 2x))/(sqrt(2)x) is :

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  12. lim(x rarr oo) ((x^(2) + 5x + 3)/(x^(2) + x + 2))^(x) is :

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  13. For x in R, lim(x rarr oo) ((x-3)/(x+2))^(x) is equal to :

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  14. The value of lim(n rarr oo) (1 + 2^(4) + 3^(4) +…...+n^(4))/(n^(5)) - ...

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  15. lim(x rarr 0) (log (3 + x) - log(3 - x))/(x) = k, the value of k is :

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  16. The value of lim(x rarr 0) (int(0)^(x^(2))sec^(2)t dt)/(x sin x) is :

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  17. lim(x rarr (pi)/(2)) ((1 - tan x//2)(1-sin x))/((1+tan x//2) (pi - 2x)...

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  18. If lim(h rarr 0) (1 + (a)/(x) + (b)/(x^(2)))^(2x) = e^(2), then the va...

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  19. Let alpha and beta be the distinct roots of ax^(2) + bx + c = 0, then ...

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  20. Let a = lim(n rarr oo) (1+2+3+.....+n)/(n^(2))=, b = lim(n rarr oo) (...

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