Q43 of 155 Page 9

For what value of k is the following function continuous at x = 2?

Given:


For f(x) is continuous at x = 2 & f(2) = k


If f(x) to be continuous at x = 2,we have to show, f(2)–=f(2) + =f(2)


LHL = f(2)– =





⇒ (5–4×0)


⇒ 5 ...(1)


RHL = f(2) + =





⇒ (5 – 3 × 0)


⇒ 5 ...(2)


Since , f(x) is continuous at x = 2 & f(2) = k


k = 5


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