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lim(xrarr0)(e^cotx-e^cosx)/(cotx-cosx) i...

`lim_(xrarr0)(e^cotx-e^cosx)/(cotx-cosx)` is

A

-1

B

1

C

0

D

none of these

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The correct Answer is:
B
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PATHFINDER-LIMIT, CONTINUITY AND DIFFERENTIABILITY-QUESTION BANK
  1. If f(x)=[sin^2x] (where [.] denotes the greatest integer function ) th...

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  2. Let f(x) be a polynomial of degree one and f(x) be a function defined ...

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  3. lim(xrarr0)(e^cotx-e^cosx)/(cotx-cosx) is

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  4. value of lim(xrarrinfty)((x+1)/(x+2))^(2x+1) is

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  5. lim(xrarrinfty)(3^x+4^(x+1)+5^x)/(5^x+3^(x+1)) is

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  6. lim(xrarrinfty)[((2+x)^40(4+x)^5)/(2-x)^45] equals

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  7. lim(xrarr5)(x-5)/|x-5| equals to

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  8. lim(x rarr pi/3)frac(Sin(pi/3-x))(2cosx-1) is equal to

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  9. If f(x)=((x^2+5x+3)/(x^2+x+2))^x then lim(xrarrinfty)f(x)=

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  10. If lim(xrarrinfty)((x^2+1)/(x+1)-px-q)=0, then

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  11. The value of lim(xrarrinfty)frac(x^3sin(1/x)-2x^2)(1+3x^2)is

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  12. If f(x)={(sin[x]/[[x]], "for"[x] ne 0),(0, "for"[x] = 0):} where [x] d...

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  13. The number of points at which the function f(x)=1/log|x| is discontinu...

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  14. The function f(x)=(log(1+ax)-log(1-bx))/x is not defined at x =0. The ...

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  15. A function f(x) is defined as f(x)={((1-cos3x)/x^2, x ne 0),(b^2+4, x ...

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  16. If f(x)={((cosx)^(1/sinx),"for" x ne 0), (k, "for" x = 0):} The value ...

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  17. Points of discontinuities of the function f(x)=4x+7[x]+2log(1+x), wher...

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  18. The function f(x)=|x|atx=0 is:

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  19. g(x)=x|x|theng''(x)

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  20. The function defined by f(x)={((|x-3),, x ge 1), (1/4x^2-3/2x+13/4,, x...

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