how do u do this i don get it
- Thread starter jas397
- Start date
pka
Elite Member
- Joined
- Jan 29, 2005
- Messages
- 11,976
Do you understand that \(\displaystyle \frac{{\sin (3x)}}{x} = 3\frac{{\sin (3x)}}{{3x}}\) ?
With that and knowing that \(\displaystyle \ {{\rm{lim}}}\limits_{t \to 0} \frac{{\sin (t)}}{t} = 1\) you can get the limit.
JAS, YOU NEED TO START SHOWING SOME OF YOUR OWN WORK!
With that and knowing that \(\displaystyle \ {{\rm{lim}}}\limits_{t \to 0} \frac{{\sin (t)}}{t} = 1\) you can get the limit.
JAS, YOU NEED TO START SHOWING SOME OF YOUR OWN WORK!
ChaoticLlama
Junior Member
- Joined
- Dec 11, 2004
- Messages
- 199
\(\displaystyle {\lim }\limits_{x \to 0} \frac{{\sin (3x)}}{x}\)
let z = 3x
(x = z/3) (**don't forget to change the limit, here it is easy,
as x approaches 0, z approaches 0 also.)
\(\displaystyle \begin{array}{l}
{\lim }\limits_{z \to 0} \frac{{\sin (z)}}{{\frac{z}{3}}} \\
{\lim }\limits_{z \to 0} 3\frac{{\sin (z)}}{z} \\
3\left( {{\lim }\limits_{z \to 0} \frac{{\sin (z)}}{z}} \right) \\
3\left( 1 \right) \\
3 \\
\end{array}\)
Show us what you have done so far with the implicit functions. This isn't a homework doing forum, this is a concept understanding forum.
Please post your progress on those questions, we aren't here to laugh at silly errors. Pointing out ones mistakes is an effective learning tool.
let z = 3x
(x = z/3) (**don't forget to change the limit, here it is easy,
as x approaches 0, z approaches 0 also.)
\(\displaystyle \begin{array}{l}
{\lim }\limits_{z \to 0} \frac{{\sin (z)}}{{\frac{z}{3}}} \\
{\lim }\limits_{z \to 0} 3\frac{{\sin (z)}}{z} \\
3\left( {{\lim }\limits_{z \to 0} \frac{{\sin (z)}}{z}} \right) \\
3\left( 1 \right) \\
3 \\
\end{array}\)
Show us what you have done so far with the implicit functions. This isn't a homework doing forum, this is a concept understanding forum.
Please post your progress on those questions, we aren't here to laugh at silly errors. Pointing out ones mistakes is an effective learning tool.
pka
Elite Member
- Joined
- Jan 29, 2005
- Messages
- 11,976
No JAS, I will not finish the problem for you.
You have posted many problems without showing any effort.
There are some on this site that do not mind giving away complete answers (see I told you there would be someone who does care if you learn this or not).
I think that you should study the hint I gave you.
See how it relates to the basic limit that I showed you.
If you figure it out for yourself, then it will be yours not mine.
You have posted many problems without showing any effort.
There are some on this site that do not mind giving away complete answers (see I told you there would be someone who does care if you learn this or not).
I think that you should study the hint I gave you.
See how it relates to the basic limit that I showed you.
If you figure it out for yourself, then it will be yours not mine.
Pka is correct. Jas, people will get tired of you and simply write you off as someone who wants others to do your hw if you post 5 or 6 problems without showing any work.
Also, people don't like whiners especially when most of us have gone through what you're going through without the internet and tutors at your fingertips. BOTTOM LINE show everything you have tried even if you feel it is wrong.
Also, people don't like whiners especially when most of us have gone through what you're going through without the internet and tutors at your fingertips. BOTTOM LINE show everything you have tried even if you feel it is wrong.