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If f (x) = {{:( k ( x^(2) - 2 x)", ...

If ` f (x) = {{:( k ( x^(2) - 2 x)", If " x le 0 ),(4 x + 1 ", If " x gt 0 ):}` then which one of the following statement is correct

A

f(x) is continuous at x = 0 for any value of k

B

f (x) is discontinuous at x = 0 for any value of k

C

f(x) is discontinuous at x = 1 for any value of k

D

f (x) is continuous at x = 0 and k = 1

Text Solution

Verified by Experts

The correct Answer is:
B
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