RD Sharma - Mathematics (Volume 1)

Book: RD Sharma - Mathematics (Volume 1)

Chapter: 9. Continuity

Subject: Maths - Class 12th

Q. No. 28 of Exercise 9.1

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28

If is continuous at x = 4, find a, b.

Given:


f(x) is continuous at x = 4 & f(4) = a + b


For f(x) to be continuous at x = 4, f(4)– = f(4) + = f(4)


LHL = f(4)– =






a – 1


LHL = f(4) + =






1


Since ,f(x) is continuous at x = 4 & f(4) = a + b


f(4)–=f(4) + =f(4)


a – 1 = a + b = 1


a – 1 = 1


a = 2


a + b = 1


2 + b = 1


b = 1–2


b = –1


Chapter Exercises

Exercise 9.1
Exercise 9.2
Very short answer
MCQ

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