Tính lim

To find the limit of sin(4x)/2x as x approaches 0, we can use L'Hopital's rule.

Taking the derivative of the numerator and denominator separately, we have:

lim (x->0) (d/dx(sin(4x))) / (d/dx(2x))

The derivative of sin(4x) is 4cos(4x), and the derivative of 2x is 2.

Now we can evaluate the limit again:

lim (x->0) 4cos(4x) / 2

Since cos(4x) approaches 1 as x approaches 0, we have:

lim (x->0) 4/2 = 2

Therefore, the limit of sin(4x)/2x as x approaches 0 is 2.