lim n tends to infinity a^n+b^n/a^n-b^n where a b 1 - Maths - Continuity and Differentiability

Question

lim n tends to infinity a^n+b^n/a^n-b^n where a>b>1

Neha Sethi · Accepted Answer

Dear student
limn→∞an+bnan-bn  , where a>b>1=limn→∞an+bnanan-bnan  =limn→∞1+ban1-ban=1     ∵limx→∞ nmx=0 if m>n
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lim n tends to infinity. a^n+b^n/a^n-b^n where a>b>1