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Discuss the continuity of the function ...

Discuss the continuity of the function `f(x)={2x-1` `,ifx<2, (3x)/2ifxgeq2`

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RD SHARMA ENGLISH-CONTINUITY-All Questions
  1. The function f(x) is defined by f(x)={x^2+a x+b\ \ \ ,\ \ \ 0lt=x<2 ,...

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  2. If f(x)=(tan(pi/4-x))/(cot2x) for x!=pi/4, find the value which can be...

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  3. Discuss the continuity of the function f(x)={2x-1 ,ifx<2, (3x)/...

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  4. Find dy/dx if y= x-y-2x^2 .

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  5. Prove that the function f(x)={(sinx)/x\ \ \ ,\ \ \ x<0,\ \x+1\ \ \ ,...

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  6. Show that the function defined by g(x)=x-[x] is discontinuous at all i...

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  7. Find the derivative if f(x)=sinx+cosx

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  8. Find the derivative of f(x)=sinx-cosx

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  9. Find f '(x) if f(x)=sinxcosx

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  10. Find f'(x) if f(x)=cos(x^2)

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  11. Find dy/dx if x+x^7=2y

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  12. Find all the points of discontinuity of f defined by f(x)" "= "|" "x...

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  13. Determine if f defined byf(x)={x^2sin(1/x) , ifx!=0, 0 ifx=0 is a con...

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  14. Given the function f(x)=1/(x+2) . Find the points of discontinuity of ...

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  15. Find all point of discontinuity of the function f(t)=1/(t^2+t-2), wher...

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  16. Define continuity of a function at a point.

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  17. What happens to a function f(x) at x=a , if (lim)(x->a)f(x)=f(a)

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  18. Find f(0) , so that f(x)=x/(1-sqrt(1-x)) becomes continuous at x=0 .

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  19. The function f(x)={((sin3x)/x ,x!=0),(k/2,x=0):} is continuous of x...

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  20. If the function f(x)=(sin10 x)/x , x!=0 is continuous at x=0 , find f(...

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