Find the #lim_(x rarr oo) sinx/x# help me?
4 Answers
Explanation:
What do we know about the function sin(x)?
It's a function, where
So, you divide a bounded function such as sin(x) by x when x take a great value, the result is a very small value.
More generally, any bounded function divide by x give 0 in
So :
\0/ here's our answer!
Explanation:
As we have
(where
it follows that
Explanation:
Here, we will use the squeeze theorem. We know that:
Because
\0/ here's our answer!
Explanation:
The bounds of the sine function are
The denominator will be the dominant term in this expression. As
As the numerator stays around the same area, and the denominator will be much larger, we will be dividing by progressively larger numbers, yielding infinitesimally smaller numbers. Thus,
Hope this helps!