Evaluate the limit.
We use the definition of in terms of the exponential:
and the expansions (page 287 of Apostol) of and as :
Putting these together we evaluate the limit:
Evaluate the limit.
We use the definition of in terms of the exponential:
and the expansions (page 287 of Apostol) of and as :
Putting these together we evaluate the limit:
A bit confused about why we have 2cosx, when originally we start if with just cosx.
keep in mind that cosh(x) = 1/2 * (e^x + e^(-x)), he made a common denominator for cosh and cos