Question

Let C(θ) = Σcos (nθ)/n! n ∈[n = 0 , ∞]

Which of the following statements is FALSE ? 

(A)  C(0).C(p) = 1

(B)  C(0) + C(p) > 2

(C)  C(θ) > 0 for all θ ∈ R

(D)  C'(θ) ≠ 0 for all θ ∈ R

Answer 1

Correct option  (D)  C'(θ) ≠ 0 for all θ ∈ R

Explanation:

And that value is equal to zero at θ = 0