Question

lim x tends to 0 ( (cosecx - cotx )/ x )

Answer 1

Answer:

1/2

Step-by-step explanation:

(cosec x - cot x)/x

cosec^2 x- cot^2 x/ x(cosec x+ cot x)

1/x((1+cos x)/sin x))

sin x/x(1+cos x)   (sin x/ x as lim->0 = 1)

1/(1+cos x) = 1/2   (cos 0=1)

therefore answer is 1/2