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Determine the value(s) of constant(s) involved in the definition so that the given function is continuous: `f(x)={2\ \ \ ,\ \ \ if\ xlt=3a x+b\ \ \ ,\ \ \ if\ 3

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RD SHARMA-CONTINUITY-Solved Examples And Exercises
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  8. The function f(x)={(x^2)/a\ \ \ \ ,\ \ \ if\ 0lt=x<1,\ \ \ \a\ \ \ ,\ ...

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

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

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

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

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

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  16. Discuss the continuity of f(x)=sinx+cosx

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  17. Discuss the continuity of f(x)=sinx-cosx

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  18. Discuss the continuity of f(x)=sinxcosx

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  19. Show that the function defined by f(x)=cos(x^2)is a continuous functi...

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  20. Show that the function defined by f(x) = | cos x |is a continuous fun...

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