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Discuss the continuity of the function...

Discuss the continuity of the function f(x)=`{(x , 0 le x lt1/2 ),( 12,x=1/2),( 1-x , 1/2ltxle1):}` at the point `x=1//2` .

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RD SHARMA ENGLISH-CONTINUITY-All Questions
  1. Examine the continuity of the function f(x)={3x-2,\ \ \ xlt=0x+1,\ ...

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  2. Discuss the continuity of the function f(x)={x ,\ \ \ x >0 ,\ \ \ 1,...

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  3. Discuss the continuity of the function f(x)={(x , 0 le x lt1/2 ),( 1...

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  4. Discuss the continuity of f(x)={2x-1,\ \ \ x<0 ; {2x+1,\ \ \ xgeq0 a...

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  5. For what value of k is the function f(x)={(x^2-1)/(x-1),\ \ \ x!=1k ,\...

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

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  7. For what value of k is the function f(x)={(sin5x)/(3x),\ \ \ if\ x!=0,...

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

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

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  10. Find the values of a so that the function f(x)={a x+5,\ \ \ if\ xlt=2 ...

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  11. Prove that the function f(x)={x/(|x|+2x^2),\ \ \ x!=0k ,\ \ \ x=0 r...

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  12. Find the value of k if f(x) is continuous at x=pi//2 , where f(x)={(kc...

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  13. Determine the values of a ,\ b ,\ c for which the function f(x)={(si...

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  14. If f(x)={(1-cosk x)/(xsinx),x!=0 \ \ \ \ \ \ \ \ 1/2,x=0 is continuo...

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  15. If f(x)={(x-4)/(|x-4|)+a ,\ \ \ if\ x<4, a+b \ \ \ if\ x=4, (x-4...

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  16. For what value of k is the function f(x)={(sin2x)/x ,\ \ \ x!=0k ,\ \ ...

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  17. Let f(x)=(log(1+x/a)-log(1-x/b))/x ,\ \ x!=0 . Find the value of f at ...

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  18. If f(x)={((2^(x+2)-16)/(4^x-16),x!=2),(k, x=2):} is continuous at x=2 ...

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  19. If f(x)={(cos^2x-sin^2x-1)/(sqrt(x^2+1)-1),\ \ \ x!=0 \ \ \ \ k, \ \ ...

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  20. Extend the definition of the following by continuity f(x)=(1-cos7(x...

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