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The period of f(x)=[x]+[2x]+[3x]+[4x]+[n...

The period of `f(x)=[x]+[2x]+[3x]+[4x]+[n x]-(n(n+1))/2x ,` where `n in N ,` is (where `[dot]` represents greatest integer function) then which of the following is correct a. `n` (b) 1 (c) `1/n` (d) none of these

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CENGAGE PUBLICATION-RELATIONS AND FUNCTIONS-All Questions
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  3. The period of f(x)=[x]+[2x]+[3x]+[4x]+[n x]-(n(n+1))/2x , where n in ...

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  6. If for all real values of ua n dv ,2f(u)cosv=f(u+v)+f(u-v), prove that...

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  8. If f: X rarr[1,oo) is a function defined as f(x)=1+3x^3, find the su...

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  9. Find the period (if periodic) of the following function ([.] denotes ...

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  13. Discuss the continuity of f(x)=sgn(x^3-x)

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  14. If f(x)=x^2 for xgeq1 and x for x<0,then fof(x) is given by

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  15. If f(x+f(y))=f(x)+yAAx ,y in R a n df(0)=1, then find the value of f(...

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  17. Draw the graph of the function: f(x)=log|x|

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  18. If the graph of y=f(x) is symmetrical about the lines x=1a n dx=2, t...

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  19. Find the domain of f(x)(sqrt((1-sinx)))/((log)5(1-4x^2) +cos^(-1)(1...

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  20. Sketch the curve |y|=(x-1)(x-2)dot

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