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If f(x)=(2x+3sinx)/(3x+2sinx) , x!=0 is ...

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

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RD SHARMA ENGLISH-CONTINUITY-All Questions
  1. If f(x)={(cos^2x-sin^2x-1)/(sqrt(x^2+1)-1),\ \ \ x!=0 \ \ \ \ k, \ \ ...

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

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

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

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

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

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

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

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

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

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

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

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

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  14. Find the values of a and b so that the function f given by f(x)={1, if...

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  15. If f(x)={(x^2)/2, if 0<=x<1, 2x^2-3x+3/2, if1 <=x<=2 .Show that fis ...

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  16. Discuss the continuity of the f(x) at the indicated point: f(x)=...

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  17. Discuss the continuity of the f(x) at the indicated point: f(x)=...

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

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  19. If f(x)={2x^2+k\ \ \ \ ,\ \ \ \ if\ xgeq0 \ \ \ \ \ \ \ \ \ \ \...

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

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