RD Sharma - Mathematics (Volume 1)

Book: RD Sharma - Mathematics (Volume 1)

Chapter: 9. Continuity

Subject: Maths - Class 12th

Q. No. 36 of Exercise 9.1

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36

In each of the following, find the value of the constant k so that the given function is continuous at the indicated point :

at x = 0

Given:


f(x) is continuous at x = 0


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


RHL = f(0) =





cos(0) = 1


f(0) +


LHL = f(0) =






k×0


0


Hence, the value of k = 0.


36

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