1. ## Evaluate the limit

Question 2 the limit of (1-cos(x))/(x^2) as x approaches 0. i applied l'Hospitals rule twice and came up with -1/2 my professor got positive 1/2 help me out.
-i know it has the form 0/0.
-after i applied LH rule the 1st time i got (0+1sinx)/(2x)
-LH applied twice i got (-cos(x))/(2) = -1/2

Also this problem has been troubling me is there a formula that could help me out? thanks everyone.

2. Originally Posted by Johnny Walker Black

Question 2 the limit of (1-cos(x))/(x^2) as x approaches 0. i applied l'Hospitals rule twice and came up with -1/2 my professor got positive 1/2 help me out.
-i know it has the form 0/0.
-after i applied LH rule the 1st time i got (0+1sinx)/(2x)
-LH applied twice i got (-cos(x))/(2) = -1/2

The derivative of $\displaystyle \sin x$ is $\displaystyle \cos x$ , with a positive sign, not negative.

Also this problem has been troubling me is there a formula that could help me out? thanks everyone.
The formula for velocity depending on constant acceleration (gravity's) and initial velocity, which I don't remember right now (I'm a mathematician, not a physicist), but it looks something like $\displaystyle v=v_0+at$ , or stuff.

Tonio