RD Sharma - Mathematics (Volume 1)

Book: RD Sharma - Mathematics (Volume 1)

Chapter: 9. Continuity

Subject: Maths - Class 12th

Q. No. 31 of Exercise 9.1

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31

If is continuous at x = 2, find k.

Given:


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


If f(x) to be continuous at x = 2,then,


f(2) = f(2) + = f(2 )


LHL = f(2) =










(a + b)(a – b) = a2–b2




= 1





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


k =


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