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

Exercise 9.1
Exercise 9.2
Very short answer
MCQ

More Exercise Questions

1

Define continuity of a function at a point.
2

What happens to a function f(x) at x = a, if

3

Find f (0), so that becomes continuous at x = 0.
4

If is continuous at x = 0, then write the value of k.
5

If the function x ≠ 0 is continuous at x = 0, find f(0).
6

If is continuous at x = 4, find k.
7

Determine whether is continuous at x = 0 or not.
8

If is continuous at x = 0, find k.
9

If is continuous at x = 0, write the value of k.
10

Write the value of b for which is continuous at x = 1.
11

Determine the value of constant ‘k’ so that the function is continuous as x = 0.
12

Find the value of k for which the function is continuous at x = 2.

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