RD Sharma - Mathematics (Volume 1)

Book: RD Sharma - Mathematics (Volume 1)

Chapter: 9. Continuity

Subject: Maths - Class 12th

Q. No. 7 of Very short answer

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7

Determine whether is continuous at x = 0 or not.

Formula:- (i)


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


(iii) , where ,




using formula (ii)



Using standard limit


=0


=f(0)



Hence f(x) is continuous at x=0


Chapter Exercises

More Exercise Questions

5

If the function x ≠ 0 is continuous at x = 0, find f(0).