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Prove that f(x)={((x-|x|)/x, x!=0),( 2 ,...

Prove that `f(x)={((x-|x|)/x, x!=0),( 2 , x=0):}` is discontinuous at `x=0` .

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RD SHARMA ENGLISH-CONTINUITY-All Questions
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  2. Discuss the continuity of the f(x) at the indicated point: f(x)=...

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  3. Prove that f(x)={((x-|x|)/x, x!=0),( 2 , x=0):} is discontinuous at ...

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  5. For what value of lambda is the function f(x)={lambda(x^2-2x)\ \ \ \ ,...

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  6. For what value of k is the following function continuous at x=2 ? f(...

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  7. Let f(x)={(1-sin^3x)/(3cos^2x) if x< pi/2, a if x=pi/2 . If f(x) ...

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  8. If the functions f(x) , defined below is continuous at x=0 , find th...

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  9. Find the relationship between ' a ' and ' b ' so that the function ...

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  10. If a function f is defined as f(x)={(|x-4|)/(x-4)\ \ \ ,\ \ \ x!=4 0\ ...

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  11. Discuss the continuity of the function f(x)={(sin2x)/x ,ifx<0x+2,ifxg...

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

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  13. Discuss the continuity of the function f(x) given by f(x)={2x-1,ifx<0...

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

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

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

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

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

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

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

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