Question

$\underset{n\to \infty }{lim}\frac{a^n+b^n}{a^n-b^n}$, where $a>b>1$, is equal to

• A. $-1$
• B. $1$
• C. $0$
• D. $\frac{a}{b}$

Answer 1

The correct option is B $1$

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

$a>b>1$

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

$=1$