How do i solve part b? I don't even understand the question :/

[ParveshD.Singh]

 

[Romsek]

what is [MATH]\lim \limits_{x \to 0} ~f(x)[/MATH] ?

 

[HallsofIvy]

Do you not know what "continuous function" means? To be continuous (at x= 0) you must have \(\displaystyle \lim_{x\to 0} f(x)= f(0)\).
That is why Romsek asked "what is \(\displaystyle \lim_{x\to 0} f(x)\)?"

(It will be helpful to remember that "cos(x)" is always between -1 and 1.)

 

[Steven G]

Building on the hint that Professor Halls gave you, you should use his hint and apply the squeeze theorem.