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If f(x) = {(kx^(2),"if"x le 2),(3,"if" x...

If `f(x) = {(kx^(2),"if"x le 2),(3,"if" x gt 2):}` is continuous at x = 2, then the value of k is

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The correct Answer is:
`3/4`
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Knowledge Check

  • If f(x) = {(2x+1,",",x le 1),(-3-kx^(2),",",x gt 1):} is continuous at x = 1, then the value of k is

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  • f(x) = {(3x-8,",", "if"x le 5),(2k,",", "if"x gt 5):} is continuous at x = 5, find k.

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