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Find the values of `a` so that the function `f(x)={a x+5,\ \ \ if\ xlt=2` `\ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \x-1,\ \ \ if\ x >2\ \ \ `is continuous at x=2

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RD SHARMA ENGLISH-CONTINUITY-All Questions
  1. Determine the value of the constant k so that the function f(x)={k ...

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

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

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

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

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

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

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

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

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

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

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

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

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  14. If f(x)=(2x+3sinx)/(3x+2sinx) , x!=0 is continuous at x=0 , then find ...

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  15. Find the values of k for which f(x)={(1-cos4x)/(8x^2),\ \ \ w h e n\ x...

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  16. Find the value of the constant k so that the given function is ...

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  17. Find the value of the constant k so that the given function is ...

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  18. Find the value of the constant k so that the given function is c...

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  19. Find the value of the constant k so that the given function is c...

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  20. Find the value of the constant k so that the given function is c...

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