Answer:
0
Step-by-step explanation:
L Hospital's rule states that as long as u have the form
of infinity / infinity or 0/0 in general you can take its derivative to find the limit.
In this case as X tends to 0, the numerator tends to 0
Denominator will also tends to 0.
We have the 0 / 0 form, which means we can take the derivative for its numerator and denominator which gives
(2x - 2SinxCosx) / 2x | lim x -> 0
= (2x - Sin2x) / 2x | lim x -> 0
Based on this equation, as x tends to 0
both numerator and denominator tends to 0.
So we take its second derivative,
(2 - 2Cos2x) / 2
Now as x -> 0,
we will get (2 - 2)/2 = 0
