Question

Lim ( cosec x - cot x)
X-0

Answer 1

Answer:

lim. ( 1/sinx-cosx/sinx)

x->0

lim. (1-cisx/sinx)

x-0

lim.( 1-cosx/sinx)(1+cosx/1+cosx)

x-0

lim (1-cos^2x/sinx(1+cosx))

x-0

lim ( sin^2x/sinx(1+cosx)

x-0

lim (sinx/1+cos x)

x-0

sin0/1+cos0

0/1+1=0