The most general solutions of 2^ ,1+| x|+ ^2x+| x|^3+ to =4 are given by

JEE Advanced Mathematics question

Not in JEE Main syllabus

The most general solutions of are given by

Answer: (A)

The exponent is a geometric series with ratio (note ); it converges only for , with sum . So

=⇒=2⇒| x|=12⇒

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Question ID VK-108555