MCQ
If f(x) is continuous over [- π, π], where f(x) is defined as

f(x) = `{(- 2 sin x "," - pi ≤ x ≤ (-pi)/2),(alpha sin x + beta"," - pi/2 < x < pi/2),(cos x "," pi/2 ≤ x ≤ pi):}` then α and β equals

  • A
    α = 1, β = 1
  • B
    α = 1, β = - 1
  • α = - 1, β = 1
  • D
    α = β = 0

Answer

Correct option: C.
α = - 1, β = 1
C

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