2 sec (4x) - 2

Use a calculator to find lim -

X+0 4 sec (4x)

a.

4.

C.

O

b.

1/2

d. None of these

Step-by-step explanation:

Find the limit of x to 0 of 4•Sec (4x) ^-2

We know that, Sec4x = 1 / Sin4x

Then,

Lim x → 0: 4• (1 / Sin4x) ^-2

Lim x → 0: 4• (Sin4x) ²

Then,

Lim x → 0: 4 (Sin (4*0)) ²

Lim x → 0: 4 (Sin0) ²

Lim x → 0: 4

Then, the limit as x → 0 is 4.

The correct answer is 4

Option A