Question

Question 27 Find lim(x-->5) f(x), where f(x) = |x| - 5

Class XI - Limits and Derivatives Page 302

Answer 1

Heya
refer to the attachment
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limit exists only when the left hand Limit= right hand limit .
here we have used the definition of modulus function

as |X| = { x : x>0
-x:x<0
0 :x=0


I hope it will help you .
ask me if you will face any problem.