Q41 of 155 Page 9

If then what should be the value of k so that f(x) is continuous at x = 0.

we have to find the value of 'k' such that f(x) is continuous at x = 0


If f(x) is be continuous at x = 0,then, f(0)–=f(0) + = f(0)


LHL = f(0)–=





⇒ –2×02 + k


⇒ k ...(1)


RHL = f(0) + =





⇒ 2×02 + k


⇒ k ...(2)


From (1) & (2),we get , f(0)– = f(0) +


So the value of k can be any real number(R),so that f(x) is continuous at x = 0


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