Question

Discuss the continuity of |x|+|x-1| at x=1.(Explain Please)

Answer 1

hi friend,

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Given expression- |x|+|x-1|

Lt x---->(-1). |x|+|x-1|

=|-1|+|-1-1|

=1+2

=3

Now, Lt x------->( 1 ) |x|+|x-1|

=|1|+|1-1|

=1

since Lt x-----> (-1) ≠ Lt x------->(1)

The given expression is not continuous at x=1

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I hope this will help u ;)

Answer 2

Answer:

your answer is in the attachment