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Find the maximas and minimas in |1/(2|x|-1)-2|.Please draw the graph.
the approch to solve this question is to find out the values which x can't take and divide the real line into intervals in which x exists and then use differentiation to find maxima and minima.also check the value of the expresion at the boundary of the intervals including the positive and negative infinities if x can tend them.
the minima is 0, and maxima does nt exist as it tends to infinity(positive,obviously!!).
graph can be drawn easily by analysing the intervals of x explained above ,taking special care to the boundary values.
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