Step 1)
we have to evaluate,
we know that series expansion of ln(1+x) is given by,
Hence,
Hence,
It means,
Step 2)
we have to evaluate,
we know that series expansion of cos(x) is given by,
Hence,
--------------------------------------------------------1)
we know that series expansion of ex is given by,
Hence,
-----------------------------------------------------------2)
From equation 1) and 2) we can write,
Hence,
Hence,
Use series to evaluate the limit. Solutions using l'Hospital's rule will not be given credit. :...
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