l i m n → ∞ 2.3 n − 3.5 n 3.3 n + 4.5 n = Options: A . &nbsp23 B . &nbsp−34 C . &nbsp1 D . &nbsp0

Answer: Option B : B l i m n → ∞ 2.3 n − 3.5 n 3.3 n + 4.5 n = l i m n → ∞ 5 n ( 2 ( 3 5 ) n − 3 ) 5 n ( 3 ( 3 5 ) n + 4 ) A s n → ∞ , ( 3 5 ) n → 0 = − 3 4

limn→∞2.3n−3.5n3.3n+4.5n=

Question

l i m n \to \infty \frac{{2.3}^{n} - {3.5}^{n}}{{3.3}^{n} + {4.5}^{n}} =

Options:

A . 23

B . −34

C . 1

D . 0

Answer: Option B
:
B

l i m n \to \infty \frac{{2.3}^{n} - {3.5}^{n}}{{3.3}^{n} + {4.5}^{n}}

= l i m n \to \infty \frac{5^{n} (2 {(\frac{3}{5})}^{n} - 3)}{5^{n} (3 {(\frac{3}{5})}^{n} + 4)}

A s n \to \infty, {(\frac{3}{5})}^{n} \to 0

= - \frac{3}{4}

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