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38

If Show that f is continuous at x = 1.

Given:

For f(x) is continuous at x = 1

If f(x) to be continuous at x = 1,we have to show, f(1)^{–}=f(1) ^{+} = f(1)

LHL = f(1)^{–} =

(a–b)^{2} = a^{2}–2ab + b^{2}

...(1)

RHL = f(1) ^{+} =

20^{2} + 0 +

...(2)

From (1) & (2),we get f(1)^{–} _{=} f(1) ^{+}

Hence ,f(x) is continuous at x = 1

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