Question

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

Answer 1

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