Behaviour being used: Adaptive mode
Minimum fraction: 0
Question summary: Let [f] be the [2 pi]- periodical function [Error converting from MathML to accessible text.] which meets the condition [Error converting from MathML to accessible text.] if [Error converting from MathML to accessible text.] a) The value of a that makes the constant term of [Error converting from MathML to accessible text.] vanish: _____ b) The series of Fourier of [f] is: [Error converting from MathML to accessible text.] _____ [Error converting from MathML to accessible text.] _____ [Error converting from MathML to accessible text.] [Error converting from MathML to accessible text.] c) The [Error converting from MathML to accessible text.] is pointwise convergent to [f] according to the Dirichlet criteria (T/F): _____ d) The [Error converting from MathML to accessible text.] cannot be uniformly convergent to [f] since [f] is not continuous[Error converting from MathML to accessible text.] (T/F): _____ e) Using [Error converting from MathML to accessible text.], the result of [Error converting from MathML to accessible text.] is: _____ f) Using [Error converting from MathML to accessible text.], it can be proved that [Error converting from MathML to accessible text.] (T/F): _____
Right answer summary: part 1: 2/π; part 2: 4/(4·π·n^2-π); part 3: 0; part 4: T; part 5: F; part 6: π/4; part 7: F
Question state: todo