Given first equation

a)

Apply L-hospitals rule

The derivative of x is 1

Given second equation is

b)

Apply L-hospitals rule

The derivative of

Replace x = 0 in the place of x

=-2

Given third equation is

c)

Apply L-hospitals rule

The derivative of sinx is cosx and tanx is cotx

Replace x=0 in the place of x

d)

Replace x=3 in the place of x

It can be cancelled by 12

e)

Replace x = 0 in the place of x

f)

=

Add derivative for numerator ana denominator

Lt(cosx) as x approximate (0) is 1

=1