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Find the points of discontinuity, if any, of the following function: `f(x)={s in\ x-cosx\ \ \ ,\ \ \ if\ x!=0-1\ \ \ ,\ \ \ if\ x=0`

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RD SHARMA-CONTINUITY-Solved Examples And Exercises
  1. Find the points of discontinuity, if any, of the following function...

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

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

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

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  5. Determine the value(s) of constant(s) involved in the definition so...

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  6. Determine the value(s) of constant(s) involved in the definition so...

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  7. Determine the value(s) of constant(s) involved in the definition so ...

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  8. Determine the value(s) of constant(s) involved in the definition so...

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  9. Determine the value(s) of constant(s) involved in the definition so ...

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  10. Find the value of k , for which f(x)={((sqrt(1+k x)-\ sqrt(1-k x))/...

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  11. Determine the value(s) of constant(s) involved in the definition so ...

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  12. Find the value of k so that the function f defined by f(x)={(kcosx)/(...

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  13. The function f(x)={(x^2)/a\ \ \ \ ,\ \ \ if\ 0lt=x<1,\ \ \ \a\ \ \ ,\ ...

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  14. f(x)={x+sqrt2asinx,0ltxltpi/4 and 2xcotx+b , pi/4lexltpi/2 and acosx-b...

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  15. The function f(x) is defined by f(x)={x^2+a x+b\ \ \ ,\ \ \ 0lt=x<2 ,...

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

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

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  18. Discuss the continuity of f(x)=sin|x| .

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

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

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