RD Sharma - Mathematics (Volume 1)

Book: RD Sharma - Mathematics (Volume 1)

Chapter: 9. Continuity

Subject: Maths - Class 12th

Q. No. 7 of MCQ

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7

Mark the correct alternative in the following:

If f(x) = (x + 1)cotx be continuous at x = 0, then f(0) is equal to


Formula:- (i)standard limit and


(ii) A function f(x) is said to be continuous at a point x=a of its domain, iff



(iii) , where ,


Given:-


f(x) = (x + 1)cotx


log f(x)=(cotx)(log(x+1))……………………………..taking log both sides




Using formula (iii)



Using standard limit formula (i)



f(0)=e

Chapter Exercises

Exercise 9.1
Exercise 9.2
Very short answer
MCQ

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