lim n → ∞ a n + b n a n − b n , where a > b > 1 , is equal to Options: A . &nbsp−1 B . &nbsp1 C . &nbsp0 D . &nbspab

Answer: Option B : B lim n → ∞ a n + b n a n − b n a > b > 1 = n n → ∞ 1 + ( b a ) n 1 − ( b a ) n = 1

limn→∞an+bnan−bn, where a>b>1, is equal to

Question

lim n \to \infty \frac{a^{n} + b^{n}}{a^{n} - b^{n}}

, where

a > b > 1

, is equal to

Options:

A . −1

B . 1

C . 0

D . ab

Answer: Option B
:
B

lim n \to \infty \frac{a^{n} + b^{n}}{a^{n} - b^{n}}

a > b > 1

= n n \to \infty \frac{1 + {(\frac{b}{a})}^{n}}{1 - {(\frac{b}{a})}^{n}}

= 1

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