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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). `n` (b) 1 (c) `1/n` (d) none of these

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RESONANCE DPP-JEE MAINS-All Questions
  1. If m and n are positive integers satisfying 1+cos2theta+cos4theta+cos6...

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  2. Find logarithm of the following values : {:((i),0.128,(ii),0.0125,(...

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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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  4. Find logarithm of the following values : {:((i),0.128,(ii),0.0125,(...

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  5. Total number of ordered pairs (x, y) satisfying Iyl = cos x and y = si...

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  6. The smallest natural number of the form 123x43y, which is exactly divi...

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  7. Circle with centre C (1, 1) passes through the origin and intersects t...

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  8. Number of integers whose characteristic of logarithms to the base 10 i...

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  9. If f(x+y)=2f(x) f(y) for all x,y where f'(0)=3 and f'(4)=2, then f'(4)...

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  10. If mantissa of lagarithm of 719.3 to the base 10 is 0.8569 then mantis...

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  11. if f(x) = x^n then the value of f(1) - (f'(1))/(1!) + (f''(1))/(2!) +...

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  12. Number of digits in integral part of 60^(-12)-60^(-12)-60^(-15)is ("gi...

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  13. The extremities of the diagonal of a rectangle are (-4, 4) and (6,-1)....

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  14. In the adjoining figure, find the value of tan B.

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  16. A rhombus is formed by two radii and two chords of a circle whose r...

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  17. The number of ways of seven digit number with distinct digits of the f...

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  18. (b) Given log 2 =0.3010, log 3=0.4771, find thevalue of ((16)^(1/5) *5...

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  19. If the terms of the A.P. sqrt(a-x),sqrt(x),sqrt(a+x) are all in intege...

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  20. The value of the expression, (log)4((x^2)/4)-2(log)4(4x^4)w h e nx=-2 ...

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