- #1
Taylor_1989
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- 14
Homework Statement
Hy guys I am having an issue with approximating this first question, which I have shown below.
Now my problem is not so much solving it but I have been thinking that if given the same question without knowing that it approximates to so for example the question I am thinking of is: approximate the function: ##\frac{cosh x}{sinh x}-1##.
Homework Equations
##\frac{e^x+e^{-x}}{2}##
##\frac{e^x-e^{-x}}{2}##
The Attempt at a Solution
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So alls I have at the moment is ## \lim_{x\to\infty}\frac{2e^{-2x}}{1-2e^{-2x}}##
and this is where I get stuck how would I use limits to show the it approximates to what they have given. I was thinking of just taking the limit of the bottom line, and this would give the ans but I am not 100% sure that you can actually do that, another way I was thinking is showing what the end of the function dose, but then I would have to dived through and I am not sure that the function can be divided. Could someone please give me some advice much appreciated.
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