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Show that the function defined by `g(x)=x-[x]` is discontinuous at all integral points. which [x] denotes the greatest integer function.

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RD SHARMA ENGLISH-CONTINUITY-All Questions
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  2. Prove that the function f(x)={(sinx)/x\ \ \ ,\ \ \ x<0,\ \x+1\ \ \ ,...

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

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

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

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

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

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

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

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

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

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

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  13. Define continuity of a function at a point.

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

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

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

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

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  18. If f(x)={(x^2-16)/(x-4), if\ x!=4k\ ,if\ x=4 is continuous at x=4 , fi...

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  19. Determine whether f(x)={(sinx^2)/x\ \ \ ,\ \ \ x!=0 0\ \ \ ,\ \ \ x=0 ...

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  20. If f(x)={(1-cosx)/(x^2)\ \ \ ,\ \ \ x!=0k\ \ \ ,\ \ \ x=0 is continuou...

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