- #1
Nipuna Weerasekara
- 36
- 2
Homework Statement
Solve the following limit.
$$\lim_{x\to0} \space \frac {sin(\pi (Cos ^2 (x)))}{\pi (Cos ^2 (x))}$$
The Attempt at a Solution
When I plug ##x\to 0 ## into the limit, I get 0/1... Then what can I do? See here I can't even apply L'Hopital's law... Please help!
Here I see the answer is 0 obviously... But I need to plug this result into another limit question. Which is the real challenge here...
For further guidance,
$$ \lim_{x\to0}\space \frac {sin(\pi (Cos ^2 (x)))}{x^2}$$
This is the limit question... The challenge is to get the answer to this limit by without using the L'Hopital's law...