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Prove that f(x)=sqrt(|x|-x) is continuou...

Prove that `f(x)=sqrt(|x|-x)` is continuous for all `xgeq0` .

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RD SHARMA ENGLISH-CONTINUITY-All Questions
  1. Discuss the continuity of the function f(x) given by f(x)={2x-1,ifx<0...

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  2. Show that the function f defined by f(x)=|1-x+|x|| is everywhere co...

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  3. Prove that f(x)=sqrt(|x|-x) is continuous for all xgeq0 .

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  4. Given f(x)=1/(x-1) . Find the points of discontinuity of the compos...

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  5. Determine the value of the constant k so that the function f(x)={k ...

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  6. Determine the value of the constant m so that the function f(x)={m(x...

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  7. If f(x)={3ax+b if x>1, 11 if x=1 , 5ax-2b,if x<1.Determinethe values o...

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

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  9. Discuss the continuity of the function f(x)={x/(|x|)\ \ \ ,\ \ \ x!...

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  10. Find the points of discontinuity, if any, of the following function:...

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  11. Find the points of discontinuity, if any, of the following function:...

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  12. Find the points of discontinuity, if any, of the following function...

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  13. Find the points of discontinuity, if any, of the following function...

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  14. Find the points of discontinuity, if any, of the following function:...

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  15. Find the points of discontinuity, if any, of the following function:...

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  16. Find the points of discontinuity, if any, of the following function:...

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  17. Find the points of discontinuity, if any, of the following function...

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  18. Find the points of discontinuity, if any, of the following function:...

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  19. Find the points of discontinuity, if any, of the following function...

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