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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 = a2–2ab + b2
...(1)
RHL = f(1) + =
2
02 + 0 +
...(2)
From (1) & (2),we get f(1)– = f(1) +
Hence ,f(x) is continuous at x = 1