find the order of magnitude of the function sinh $\frac{1}{ϵ}$ as ϵ tends to zero. The answer is suposed to be in terms of exponential function but when you look at the maclaurin series and replace the x with $\frac{1}{x}$ it becomes infinite and there is no answer??
Finding the order of magnitude of functions as ϵ tends to zero
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asymptotics
1 Answers
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Hint:
$$\sinh u=\frac{\mathrm e^u-\mathrm e^{-u}}2$$ and set $u=\dfrac1x$.