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Find the constant b that makes g continu...

Find the constant b that makes g continuous on `(-infty,infty)`
` g(x)={{: (x^2-b^2 , if x<4) ,(bx+20, if x ≥ 4):}`

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FULL MARKS-DIFFERENTIAL CALCULUS - LIMITS AND CONTINUITY-EXERCISE 9.5
  1. Find the points of discontinuity of the function f, where f(x)={:{(s...

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  2. At the given point x0 discover whether the given function is continuou...

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  3. At the given point x0 discover whether the given function is continuou...

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  4. Show that the function {:{((x^3-1)/(x-1)if,x ne 1),(3if,x=1):} is cont...

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  5. For what value of a is this function f(x){:{((x^4-1)/(x-1)if,x ne 1),(...

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  6. Graph the function. Show that f(x) continuous on (-infty,infty)

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  7. If f and g are continuous functions with f(3)=5 and lim(x to 3)[2f(x)-...

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  8. Find the points at which f is discontinuous . At which of these points...

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  9. Find the points at which f is discontinuous . At which of these points...

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  10. A function f is defined as follows: f(x)={:{(0,for,x lt0),(x , for,0...

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  11. Which of the following f has removable discontinuity at x=x0? If the d...

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  12. Which of the following f has removable discontinuity at x=x0? If the d...

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  13. Which of the following f has removable discontinuity at x=x0? If the d...

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  14. Find the constant b that makes g continuous on (-infty,infty) g(x)=...

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  15. Consider the function f(x)=x sin (pi/x). What value must we give f(0) ...

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  16. The function f(x)=(x^2-1)/(x^3-1) is not defined at x=1. What value mu...

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  17. State how continuity is destroyed at x=x0 for each of the following gr...

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  18. State how continuity is destroyed at x=x0 for each of the following gr...

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  19. State how continuity is destroyed at x=x0 for each of the following gr...

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  20. State how continuity is destroyed at x=x0 for each of the following gr...

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