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Homework Statement
question attached.
My question is just about the size of the limit, how do you know whether to expand out the exponential or not (parts 2) and 4))
Homework Equations
for small ##x## we can expand out ##e^{x} ## via taylor series.
The Attempt at a Solution
Solutions given here for parts 2) and 4) respectively. (not full sol but only as relevant as needed for the question):
For parts 2) and 4) below I would have used the same approximation ##1+3e^{x}##, but would have expanded out the exponential as ##1+x##.
I'm just wondering how you know whether or not to expand this out or not, going by 'low ##T## many thanks.
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