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Find the points of discontinuity of the function: `f(x)=[[x]]-[x-1],w h e r e[dot]` represents the greatest integer function

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CENGAGE PUBLICATION-CONTINUITY AND DIFFERENTIABILITY-All Questions
  1. Test the continuity and differentiability of the function f(x)=|(x+1/2...

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  2. Let f(x)={(log(1+x)^(1+x)-x)/(x^2)}dot Then find the value of f(0) so ...

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  3. Find the points of discontinuity of the function: f(x)=[[x]]-[x-1],w h...

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  4. let f(x)=(lncosx)/{(1+x^2)^(1/4)-1} if x > 0 and f(x)=(e^(sin4x)-1)/(l...

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  5. What value must be assigned to k so that the function f(x)={(x^4-25...

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  6. Let f(x) be a function defined as f(x)={(x^2-1)/(x^2-2|x-1|-1),x!=1 ...

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  7. If the function f(x)={(Ax-B ,, x le 1),(3x ,,1 lt x lt 2),(Bx^2-A ,, ...

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  8. Let : f(x)={((a+3cosx)/(x^2) ,, x<0),(btan(pi/([x+3])) ,, xgeq0):} If...

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  9. Let : f(x)={(sina x^2)/(x^2),x!=0 3/4+1/(4a),x=0 for what values of...

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  10. f(x)={|x+1|;xlt=0x ;x >0 and g(x)={|x|+1;xlt=1-|x-2|;x >1 Draw its g...

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  11. f(x)={cos^(-1){cotx), x<pi/2 pi[x]-1, x >pi/2 where [dot] represe...

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  12. Discuss the differentiability of f(x)=|(log)ex| ,x>0

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  13. Discuss the differentiability of f(x)="max"{sec^(-1)x , cosec^(-1)x}

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  14. A function f(x) is such that f(x+pi/2)=pi/2-|x|AAx. Find f(pi/2), if i...

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  15. Discuss the differentiability of f(x)=|x-1|+|x+1|

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  16. Which of the function is non-differential at x=0? f(x)=|"x"^3|

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  17. Discuss the differentiability of f(x)=|x^3| at x=0

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  18. Discuss the differentiability of f(x)=|x|sinx+|x-2|sgn(x-2)+|x-3|dot

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  19. Discuss the differentiability of f(x)="sin"|x|

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  20. Discuss the differentiability of f(x)=[x]+|1-x|, x in (-1,3),w h e r e...

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