hi
im having trouble with this limit
ill try my best to display it
its the function of sin(x-1) over the quadratic x^2 + x - 2
as x approaches 1
lim sin(x-1)
x->1 x^2+x-2
before you replied, i already edited my first post and apologized for posting in the wrong section. i didnt look at the specific categories for posting. but i thought I would get better luck posting here then just leaving my question in the elementary tab
If you want to take the easy route, you can always use L'Hopital's rule:
$\displaystyle \lim_{x\rightarrow{1}}\frac{sin(x-1)}{x^{2}+x-2}$
Apply the rule by taking derivative of num and den:
$\displaystyle \lim_{x\rightarrow{1}}\frac{cos(x-1)}{2x+1}$
Now, plug in 1 and what's the limit?.