Question

show that limit x tends to 2 |x-2|/x-2 doesn't exist.

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Answer 1

Step-by-step explanation:if you take LHS limit then that is limit x tends to x^2- and put x=2 then mode open with - and you get =0.and you take right hand limit x^2+  and put x=2mode open with + and you get =1 that is why limit does not exist