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The values of the constants a , b, c for...

The values of the constants `a , b, c` for which the function `f(x)={(1+a x)^(1//x), x<0 and ((x+c)^(1/3)-1)/((x+1)^(1/2)-1),x >0 and b, x=0` may be continuous at `x=0,` are

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RD SHARMA ENGLISH-CONTINUITY-All Questions
  1. The value of a for which the function f(x)=f(x)={((4^x-1)hat3)/(sin(x...

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  2. The function f(x)=tanx is discontinuous on the set

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  3. The function f(x)={(sin3x)/x ,x!=0k/2,x=0 is continuous of x=0,t h e ...

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  4. If the function f(x)=(2x-sin^(-1)x)/(2x+tan^(-1)x) is continuous at ea...

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  5. The value of a for which the function f(x)={5x-4\ \ \ ,\ \ \ if\ 0<xlt...

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  6. If f(x)=1/(1-x), then the set of points discontinuity of the function ...

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  7. Let f(x)=(tan(pi/4-x))/(cot2x),x!=pi/4 . The value which should be ass...

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  8. The function f(x)=(x^3+x^2-16 x+20)/(x-2) is not defined for x=2. In o...

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  9. If f(x)={asinpi/2(x+1), ,xlt=0(tanx-sinx)/(x^3),x >0 is continuous at...

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  10. If f(x)={a x^2+b ,0lt=x<1 4,x=1x+3,1<xgeq2 then the value of (a , b) ...

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  11. If the function f(x) defined by f(x)={(log(1+3x)-log(1-2x))/x\ \ \ ,\ ...

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  12. If f(x)={(1-cos10 x)/(x^2) , x<0 \ \ \ \ \ \ \ \a,\ \ \ x=0 \ \ \ (sqr...

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  13. If f(x)=xsin(1/x) ,\ x!=0 , then the value of the function at x=0 , ...

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  14. The value of k which makes f(x)={sin1/x ,x!=0k ,x=0con t inuou sa tx=...

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  15. The values of the constants a , b, c for which the function f(x)={(1+a...

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  16. The points of discontinuity of the function f(x)={2sqrt(x)\ \ \ ,\ \...

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  17. If f(x)={[(1-sin^2x)/(3cos^2x),xltpi/(2)],[a,x=pi/2],[(b(1-sinx))/((pi...

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  18. The points of discontinuity of the function f(x)={1/5\ (2x^2+3)\ ,\ ...

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  19. The value of a for which the function f(x)={5x-4\ \ \ ,\ \ \ if\ 0<xlt...

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  20. If f(x)={(sin(cosx)-cosx)/((pi-2x)^2)\ \ \ ,\ \ \ x!=pi/2\ \ \ \ \ \ \...

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