If f(x)= cases 8^x-4^x-2^x+1^x x^2 , & if x>0 [2mm] e^x x+ix+ 4, & if x<0, i R cases is continuous at x = 0, then the value of 500 ,e^ is

MHT CET 2025 Mathematics question

If is continuous at x = 0, then the value of is

Answer: (A)

Right-hand limit: , so . Left-hand limit: . Continuity at 0

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Question ID VK-101832