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kenb1993
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Homework Statement
Suppose an and bn are sequences where bn is increasing and approaching positive infinity. Assume that lim n->∞ [ ( an+1 - an ) / ( bn+1 - bn) ]= L, where L is a real number. Prove that lim n->∞ [ an / bn ] = L.
Homework Equations
Limit theorems
The Attempt at a Solution
I tried making an argument with the basis that both sequences have the same number of terms, so L is the limit of (an+1)/(bn+1) and thus also (an/bn)
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