What does "sen" mean? secant?
hello... i just started university and in my math class we are seing limits and since here it said limits well i decided to post it here....
well ive been having lots of trouble with trigonometry stuff and now they go and mix one problem with limits
Im supposed to find:
thanks for the help...
To refresh your memory:
whenever we have the cases:
we can apply L'Hopital's rule (several times, if needed) to find the limit.
Now, on to your question:
Let ..........we get if we plug in
Apply L'Hopital's, we get:
.........again, we get we we plug in
Apply L'Hopital's again, we get:
........no problems here when we plug in
And, after all, you can do it numerically and approach from both sides and at least make a case for -2/5 without doing anything fancy. Perhaps that was all that's required here for this class.
Dan that is a good point however I would never go about doing a limits problem that way unless one was shooting up to - or . It would be one of those limit approaches constant problems where you plug the constant in and you dealing with fraction divided by zero.
say you wanted to evaluate a limit as x approaches 2, but when x is 2 the function is undefined. you could plug in numbers close to 2 from the right and the left, and if the result seems to settle at a number as you get close to 2, then that is the limit, if it doesn't, then the limit does not exist. so you would try numbers like:
if the result settles at a number, as we get closer to 2, then that's the limit
so for this problem, we would try, say:
(skip 3.1415 ~= pi)
if we do this method, we would see the result settling at -0.4 as we get close to pi. so that would be our limit. but as i said before, pluging in all those values into the formula given and calculating each result to see if they settle somewhere would be a pain. factoring algebraically would be much more fun and easier, but i couldn't see a way to do that, so i did L'Hopital's