Home › TS EAPCET (Engineering) › Mathematics › Limits › Using a double-angle identity, (1 - cos 2x)/x^2 …
Using a double-angle identity, (1 - cos 2x)/x^2 has what limit at zero?
AEqual to 2
BEqual to 1
CEqual to 1/2
DEqual to 4
Answer & Solution
Correct answer: A. Equal to 2
Since 1 - cos 2x = 2 sin^2 x, the ratio becomes 2 (sin x / x)^2, which tends to 2.
Related questions
A continuous function on a closed interval [a, b] attains a maximum by theWhich definition was introduced to formalise continuity?By the squeeze theorem, the limit of x^2 cos(1/x) as x tends to 0 isIf f(x) = 2x + 1 for x < 1 and f(x) = ax + 2 for x at least 1 is continuous, a equalsf(x) = x sin(1/x) for x not 0 is made continuous at 0 by setting f(0) tof(x) = |x| is continuous at 0 but at 0 it isEvery differentiable function at a point is alsoA function is right-continuous at c if no jump occurs when x approaches c from the