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Let f(x)={:{((kcosx)/(pi-2x)',xne(pi)/(2...

Let `f(x)={:{((kcosx)/(pi-2x)',xne(pi)/(2)),(3",",x=(pi)/(2).):}`
If `lim_(xto(pi)/(2))f(x)=f((pi)/(2)),` find the value of k.

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The correct Answer is:
k = 6
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MODERN PUBLICATION-CONTINUITY AND DIFFERENTIABILITY-EXERCISE 5(a) (LONG ANSWER TYPE QUESTIONS (I))
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  2. f(x)={{:((sin2x)/(5x)",when "xne0),(m", when "x=0):} at x = 0

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  3. Let f(x)={:{((kcosx)/(pi-2x)',xne(pi)/(2)),(3",",x=(pi)/(2).):} If l...

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  4. f(x) = {{:((k cosx )/((pi - 2x)"," if x ne (pi)/(2))),(3"," if x = (p...

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  7. For what value of 'k' is the function defined by : f(x)={{:(k(x^(2)+...

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  8. If the function defined by : f(x)={{:(2x-1", "xlt2),(a", "x...

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  10. Find the values of a and b such that the function defined by f(x) = ...

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  11. Determine the constants 'a' and 'b' so that the function 'f' defined b...

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  12. Determine the constants 'a' and 'b' so that the function 'f' defined b...

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  14. Find the values of 'a' and 'b' so that the following function is conti...

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  15. Find 'a' and 'b' if the function : f(x)={{:((sinx)/(x)" , "-2lexlt0)...

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  16. Determine the values of 'a' and 'b' such that the following function i...

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  17. Let f(x)={{:((1-sin^(3)x)/(3cos^(2)x),"if "x lt(pi)/(2)),(a,"if "x=(pi...

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  18. If the following function f (x) is continuous at x=0 , find the values...

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  19. If f(x) {:(=x^(2)+ax+b", if "0 le x lt 2 ),(= 3x+2", i...

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  20. Find all the points of discontinuity of the function 'f' defined by : ...

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