RD Sharma - Mathematics (Volume 1)

Book: RD Sharma - Mathematics (Volume 1)

Chapter: 9. Continuity

Subject: Maths - Class 12th

Q. No. 35 of Exercise 9.1

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35

Find the value of k for which is continuous at x = 0.

Given:


f(x) is continuous at x = 0 & f(0) = k


If f(x) to be continuous at x = 0,then,


f(0) = f(0) + = f(0)


LHL = f(0) =










1


Since f(x) is continuous at x = 0 & f(0) = k,then


k = 1


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