(i) Determine the value of k so that the function f(x) { (k(x^2 + x + 1))x < 0 {cos x x ≥ 0}

Question

(i) Determine the value of k so that the function

f(x) = \(\begin{cases} {k(x^2 + x + 1)} & x <0\\\ cos & x ≥ 0 \end{cases} \) is continuous.

(ii)

Answer 1

(i) since f(x) is continuous ;