RD Sharma - Mathematics (Volume 1)

Book: RD Sharma - Mathematics (Volume 1)

Chapter: 9. Continuity

Subject: Maths - Class 12th

Q. No. 38 of Exercise 9.1

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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 = a2–2ab + b2




...(1)


RHL = f(1) + =








202 + 0 +


...(2)


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


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


38

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