The number of solutions of 2^ 1+| x|+| x|^2+ = 4 in (- , ), is

MHT CET 2024 Mathematics question

Not in JEE Main syllabus

The number of solutions of in , is

Answer: (C)

Since , the exponent must equal 2: . For the series to converge we need , and then it is a geometric series with sum . So , i.e. $

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Question ID VK-094950