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Discuss the continuity of the functions at the points given against them. If a function is discontinuous, determine whether the discontiunity is removable. In this case, redefine the function, so that it becomes continuous : `{:(f(x)=(x^(2)-4x)/(sqrt(x^(2)+9)-5)",","for" x ne4),(=3",", "for"x=4):}}at x =4.`

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The correct Answer is:
`f(4)=240`
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NAVNEET PUBLICATION - MAHARASHTRA BOARD-CONTINUITY -EXAMPLES FOR PRACTICE
  1. Discuss the continuity of the functions at the points given against th...

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  2. Discuss the continuity of the functions at the points given against th...

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  3. Discuss the continuity of the functions at the points given against th...

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  4. Discuss the continuity of the functions at the points given against th...

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  5. Discuss the continuity of the functions at the points given against th...

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  6. Discuss the continuity of the functions at the points given against th...

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  7. Discuss the continuity of the functions at the points given against th...

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  8. Discuss the continuity of the functions at the points given against th...

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  9. Discuss the continuity of the functions at the points given against th...

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  10. Find the value of k, if the functions are continuous at the points giv...

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  11. Find the value of k, if the functions are continuous at the points giv...

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  12. Find the value of k, if the functions are continuous at the points giv...

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  13. Find the value of k, if the functions are continuous at the points giv...

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  14. Find the value of k, if the functions are continuous at the points giv...

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  15. If f (x) is continuous at x=pi, where f(x) =(sqrt(2+cos x)-1)/((pi-2)^...

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  16. If the function f(x)=((4^(sinx)-1)^(2))/(x log (1+2x)), "for" x ne0, i...

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  17. If f(x) is continous at x=0, where f(x) ((e^(3x)-1)sin x)/(xlog(1+x)),...

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  18. Discuss the continuity of the functions on te intervals shown below th...

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  19. Discuss the continuity of the functions on te intervals shown below th...

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  20. Discuss the continuity of the functions on te intervals shown below th...

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