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lim(x rarr 0) [[(log(1+x))]/x]=...

`lim_(x rarr 0) [[(log(1+x))]/x]=`

A

0

B

1

C

e

D

1/e

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B
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HIMALAYA PUBLICATION-LIMITS, CONTINUITY AND DIFFERENTIABILITY-QUESTION BANK
  1. lim(x rarr 1) (sqrt(x-1) + sqrt(x-1))/(sqrt(x^(2)-1)) =

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  2. lim(x rarr 0) x/(sqrt(x+4)-2) =

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  3. lim(x rarr 0) [[(log(1+x))]/x]=

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  4. lim(x rarr oo)((a^(1/x)+b^(1/x)+c^(1/x))/3)^x, where a, b, c are real ...

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  5. lim(x rarr oo) ((2x+7sinx)/(4x+3cosx)) =

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  6. lim(x rarr 0) (log (1+x))/(3^(x) - 1)=

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  7. lim(theta rarr pi/2) (1-sin theta )/((pi/2 - theta) cos theta)=

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  8. lim(x rarr 0) (x.10^(x)-x)/(1-cos x) =

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  9. lim(x rarr oo) ((x+a)/(x+b))^(x+b) =

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  10. If f(x) = {(2x+b, x lt alpha),(x+d, x gea):} is such that lim(x rarr a...

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  11. The quadratic equation whose roots are l and m, where l = lim(theta ra...

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  12. lim(x rarr 0) (4^(x)-9^(x))/(x*(4^(x)+9^(x)) ) =

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  13. If lim(xtoa)(a^(x)-x^(a))/(x^(x)-a^(a))=-, then :

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  14. lim(x rarr pi/6) ((3sinx - sqrt3 cos x)/(6x-pi)) =

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  15. lim(n rarr oo) 1/n^(3) sum(k=1)^(n) k^(2)x =

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  16. If f : R rarr R is defined by f(x) = {((x+2)/(x^(2)+3x+2), x in R-{-1,...

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  17. If lim(x rarr 0) ((cos 4x + a cos 2x+b)/(x^(4))) is finite, then the v...

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  18. lim(x rarr oo) {sqrt(x^(2) + 5x -7-x)} =

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  19. lim(x rarr pi/6) (2sin^(2)x + sin x-1)/(2sin^(2)x-3sinx -1) =

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  20. Let f(2)=4 and f'(2)=4. Then lim(xto2)(xf(2)-2f(x))/(x-2) is given b...

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