Question: (10 marks). Consider the sequence An = (bn + cm) 1/n where b, c are strictly positive constants and b < c. (a) Use

(10 marks). Consider the sequence An = (bn + cm) 1/n where

(10 marks). Consider the sequence An = (bn + cm) 1/n where b, c are strictly positive constants and b < c. (a) Use L'Hopital's Rule to show that the sequence an is convergent and find its limit. (b) Using the Pinching Theorem to show that the sequence an is convergent and find its limit.

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