limx→0sec x - cos xx2 equals 1 0 2 1/2 3 1 4 3 5 - Maths - Limits and Derivatives

Question

lim x → 0 s e c   x   -   cos   x x 2
equals

1 0
2 1/2
3 1
4 3
5 None of these

Manbar Singh · Accepted Answer

limx→0sec x - cos xx2= limx→0 1cosx - cos xx2= limx→0 1 - cos2xx2 
 cos x= limx→0 sin2xx2 
 1cos x= limx→0 sin xx 
  limx→0 sin xx 
  limx→0 1cos x=1 × 1 × 1=1

lim x → 0 s e c x - cos x x 2 equals 1. 0 2. 1/2 3. 1 4. 3 5. None of these

$\lim_{x \to 0} \frac{s e c x - \cos x}{x^{2}}$ equals

1. 0
2. 1/2
3. 1
4. 3
5. None of these