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If fx=sin2x5x; when x0k; when x=0 is continuous at x=0, then the value of k will be

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Important Questions on Continuity

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If fx=3 sinπx5x,x02k,x=0  is continuous at x=0, then the value of k is equal to
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If fx=1          ; when 0<x3π42sin29x; when 3π4<x<π, then 
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If the function fx=cos x1x; x0k ; x=0 is continuous at x=0, then the value of k is
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If fx=logexx-1  ,  x1k       ,  x=1 is continuous at x=1, then the value of k is
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The function fx=1-sin x+cos x1+sin x+cos x is not defined at x=π. The value of fπ, so that fx is continuous at x=π, is