Question

lim
x- tanx
x3
x-> 0 0​

Answer 1

Step-by-step explanation:

In this way:

lim

x

→

0

x

−

tan

x

x

3

=

Hospital

=

lim

x

→

0

1

−

1

−

tan

2

x

3

x

2

=

=

lim

x

→

0

−

sin

2

x

3

x

2

cos

2

x

=

lim

x

→

0

−

(

sin

x

x

)

2

⋅

1

3

cos

2

x

=

=

−

1

2

⋅

1

3

⋅

1

=

−

1

3

.