How do you find the #lim_(x to oo) (e^x+e^-x)/(e^x-e^-x)#?
3 Answers
1
Explanation:
We can manipulate and adjust this via multiplieying both numorator and denominator by
We know that as
and also
So hence limit becomes;
Explanation:
Given:
Add 0 to the numerator in the form
Combine like terms:
Separate into two fractions:
The first fraction becomes 1:
Multiply the fraction by 1 in the form of
Perform the multiplication:
The limit becomes 0; leaving only the 1.
For a third alternative, see below.
Explanation:
Multiply numerator and denominator by
We know that as
So the limit becomes;