Question

lim x tends to 0 (cosec x - cot x)​

Answer 1

Answer:

cosec0 doesn't exist

Step-by-step explanation:

ans is N/A

Answer 2

Ans.  -  0

Step-by-step explanation:

lim x tends to 0 (cosec x - cot x)

=lim x-0     ( 1/sinx - cosx/sinx)                    (1/sinx = cosec x)(cosx/sinx = cotx)

=lim x-0      ( 1-cosx/sinx)

=lim x-0      ( 2sin^2 x/2 / 2sinx/2*cosx/2)            

                                                    (sin^2 x/2= 1-cosx/2) (sinx=2sin x/2*cos x/2)  

=lim x-0       sinx/2 / cosx/2

= tan 0                                          ( put the value of x)

= 0