Please help me solve lim (sin 2x)/x
x approaching zero.
I'm supposed to determine the limit graphically and then confirm algebraically.
Thank you.
Thank you very much for responding Chris. I only get part of it though. could you please tell me how to determine the limit just by looking at the graph? and also how do I solve the rest of the equation. I am very new to calculus so I would really appreciate your help.
To find the limit graphically, look at the value of the graph at . In this case it appears to be 2, although it doesn't exist at 0 [otherwise we would be dividing by zero, which is illegal].
To finish it off, this is what we would do algebraically:
This limit has the form of
So let . Thus, as , as well.
So our limit transforms from to
Does this make sense?
--Chris
yes thank you that helped a lot.
could u help me with this other one please?
f(x)=(e^-x)/(x)
I'm supposed to
a: use graphs and tables to find lim x approaching infinity f(x)
b: lim x approaching negative infinity f(x)
c: Identify all horizontal asymptotes