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If 0 lt x lt y, then lim(n rarroo)(y^(n)...

If `0 lt x lt y`, then `lim_(n rarroo)(y^(n)+x^(n))^(1/n)` is equal to

A

e

B

x

C

y

D

none of these

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The correct Answer is:
C
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HIMALAYA PUBLICATION-LIMITS, CONTINUITY AND DIFFERENTIABILITY-QUESTION BANK
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  5. If f(x) = {((sin(1+[x]))/([x]), for [x] ne 0),(0, for [x] = 0):} , wh...

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  6. If f : R rarr R is defined by f(x) = [x-3]+|x-4| for x in R, then lim(...

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  7. lim(x rarr 0) ((1-e^(x))sin x)/(x^(2)+x^(3)) =

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  8. lim(x rarr 0) (sqrt(1+x)-1)/x =

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  9. If f(x) = [((sin [x])/([x]), [x] ne 0),(0, [x] = 0)], then lim(x rarr ...

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  10. The value of lim(x rarr k^(-)) x -[x], where k is an integer, is

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  11. The value of lim(x rarr 0) (1-cos(1-cosx))/(x^(4)) is

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  12. lim(x rarr 3)[x] =

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

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  16. lim(x rarr 0) (4^(x)-1)/(3^(x)-1) =

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  17. The value of lim(n rarr oo){1/1.3+1/3.5+1/5.7+...+1/((2n+1)(2n+3))} is

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  18. The valueof lim(x rarr 0) (e^(ax)-e^(bx))/x is

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  20. The value of lim(x rarr 0) ((4^(x)-1)^(3))/(sin(x^(2)/4) log (1+3x)) ...

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