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Explain solution RD Sharma class 12 chapter 8 Continuity exercise multiple choice question 12 maths

Answers (1)

Answer:

 The correct option is (a)

Hint:

 Use the given formula:

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

\lim _{x \rightarrow a^{+}} f(a+h)=\lim _{x \rightarrow a^{-}} f(a-h)=f(a)

Given:

 f(x)=|x|+|x-1|

Solution:

Both are polynomial function and we know that the polynomial functions are continuous everywhere,

So, according to option,

f(x) is continuous at x = 0, as well as at x = 1

So, option is (a) is correct.

Posted by

Gurleen Kaur

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