RD Sharma - Mathematics (Volume 1)

Book: RD Sharma - Mathematics (Volume 1)

Chapter: 9. Continuity

Subject: Maths - Class 12th

Q. No. 31 of Exercise 9.1

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31

If is continuous at x = 2, find k.

Given:


f(x) is continuous at x = 2 & f(2) = k


If f(x) to be continuous at x = 2,then,


f(2)– = f(2) + = f(2 )


LHL = f(2)– =










(a + b)(a – b) = a2–b2




= 1





Since, f(x) is continuous at x = 2 and f(2) = k,then


k =


Chapter Exercises

Exercise 9.1
Exercise 9.2
Very short answer
MCQ

More Exercise Questions

1

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2

A function f(x) is defined as Show that f(x) is continuous at x = 3.
3

A function f(x) is defined as

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4

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5

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6

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7

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8

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9

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10

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12

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13

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14

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15

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16

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17

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18

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19

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20

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21

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22

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23

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24

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25

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26

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27

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28

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29

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30

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31

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32

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33

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34

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35

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36

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36

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42

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