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The number of points at which the functi...

The number of points at which the function `f(x) = 1/(x-[x]) ([.]` denotes, the greatest integer function) is not continuous is

A

1

B

2

C

3

D

none of these

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The correct Answer is:
D
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MCGROW HILL PUBLICATION-LIMITS AND CONTINUITY-Exercise (Level 1 Single Correct Answer)
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  3. The number of points at which the function f(x) = 1/(x-[x]) ([.] denot...

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  4. Let f(x)=x, x in Q , f(x)=1-x , x in R ~ Q then f is continuous only a...

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  5. lim(x to 0) (x tan 2x -2x tan x)/((1- cos 2x)^(2)) equal

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  6. Let f(x)=sqrt(1-cos (x-2))/(x-2), x ne 2. The lim(x to 2) f(x)

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  10. The number of continuous functions on R which satisfy (f(x))^2=x^2 for...

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  11. The value of lim(x to 0) (sqrt(x^2+1)-1)/(sqrt(x^2+16)-4) is

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  12. lim(xtoa^(-))(sqrt(x-b)-sqrt(a-b))/((x^(2)-a^(2))),(agtb) is

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  13. The value of lim(x to oo) (sqrt(x^2+1)-sqrt(x^2-1)) is

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  14. lim(x->oo)x^(3/2)(sqrt(x^3+1)-sqrt(x^3-1))

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  15. The value of f(1) so that f(x)=(e^x-e)//(x-1) is continuous at x =1 is

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  16. The function f(x)=a[x+1] +b [x-1] , (a ne 0 , b ne 0) where [x] is the...

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  17. Let f(x)=[2x^3-6], where [x] is the greatest integer less than or equa...

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  18. Discuss the continuity of f(x), where f(x) = underset(n rarr oo)(lim)(...

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  19. If f (x) = 1/2 x - 1, then on the interval [0, pi]

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  20. If lim(x to 0) [cot (pi//4 + x)]^(1//x) =Ae^2 then the value of A is

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