Let f : (0, π) → ℝ be a function given by f(x) = cases ( 87 )^ 8x 7x , & 0

Question

Let f : (0, π) → ℝ be a function given by f(x) = cases ( 87 )^ 8x 7x , & 0 < x < 2 a - 8, & x = 2 (1 + | x|)^ ba| x| , & 2 < x < cases where a, b ∈ ℤ. If f is continuous at x = π/2, then a² + b² is equal to .........

Accepted Answer

81

JEE Main 2024 Mathematics question

Solution

See the full step-by-step solution