RD Sharma - Mathematics (Volume 1)

Book: RD Sharma - Mathematics (Volume 1)

Chapter: 9. Continuity

Subject: Maths - Class 12th

Q. No. 32 of Exercise 9.1

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32

If is continuous at x = 0, find k.

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) =








[By Applying L – Hospital Rule.]


Hence, L.H.L = 0


As f(x) is continuous at x = 0.


Then, k = L.H.L


K = 0


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