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Find the value of a for which f(x)={x^2,...

Find the value of `a` for which `f(x)={x^2,x in Q x+a ,x !in Q` is not continuous at any x

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CENGAGE PUBLICATION-CONTINUITY AND DIFFERENTIABILITY-All Questions
  1. Is the function is non-differential at x=0? f(x)="cos"|x|

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  2. f(x)={([sinpix] ,, 0lt=x<1),(sgn(x-5/4)x{x-2/3} ,, 1lt=xlt=2):} where...

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  3. Find the value of a for which f(x)={x^2,x in Q x+a ,x !in Q is not ...

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  4. Discuss the continuity of f(x)=(log|x|)sgn(x^2-1),x!=0.

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  5. If f(x) is continuous function AAx in R and the range of f(x) = (2, sq...

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  6. Discuss the continuity of f(x) where f(x)=lim(nrarrinfty)("sin" (pix)/...

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  7. Discuss the continuity of f(x)=[tan^(-1)x]

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  8. If y=1/(t^2+t-2),where \ t=1/(x-1), then find the number of points w...

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  9. Let f be a continuous function defined onto [0,1] with range [0,1]. S...

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  10. Let f be continuous on the interval [0,1] to R such that f(0)=f(1)dot ...

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  11. f(x)={(a x(x-1)+b ,, x<1),(x-1 ,, 1lt=xlt=3),(p x^2+q x+2 ,, x >3):} ...

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  12. Find the values of a and b if f(x)={a+sin^(-1)(x+b), xgeq1 and x ,x<1 ...

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  13. Discuss the differentiability of y=sin^(-1)|sinx|

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  14. Discuss the differentiability of f(x)=m a x{2sinx ,1-cosx}AAx in (0,...

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  15. Discuss the differentiability of f(x)="max"{x^2-3x+2,2-|x-1|}

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  16. Discuss the differentiability of f(x)=e^(-|x|)

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  17. If f(x)={x ,xlt=1,x^2+b x+c ,x >1 find b and c if function is continu...

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  18. Test the continuity and differentiability of the function f(x)=|(x+1/2...

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

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

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