lf o and B are the distinct roots of ax^2 + bx + c = 0, then limit (limit x → a)(1 - cos(ax^2 + bx + c))/(x - a)^2 is equal to

Question

lf α and β are the distinct roots of ax² + bx + c = 0, then limit (limit x → a)(1 - cos(ax² + bx + c))/(x - a)² is equal to

(a) (1/2)(α - β)²

(b) - (a²/2)(α - β)²

(c) 0

(d) (a²/2)(α - β)²

Answer 1

Correct Option (d) (a²/2)(α - β)²

Explanation:

Comments

Why we multiplied by a/2 ??