Question

Please help me, I couldn't get the answer, thanks

Answer 1

Answer:

The given limit to be evaluated

$=lim_{x - >∞ }\frac{axⁿ + bxᵐ}{cxⁿ - dxᵐ}$

$=lim_{x - >∞ }\frac{a + b\frac{xᵐ}{xⁿ}}{c - d\frac{xᵐ}{xⁿ}}$

$=lim_{x - >∞ }\frac{a + b\frac{1}{xⁿ⁻ᵐ}}{c - d\frac{1}{xⁿ⁻ᵐ}}$

As n > m,

when x - >∞, xⁿ⁻ᵐ - > ∞

So, $\frac{1}{xⁿ⁻ᵐ} - > 0$

The limit becomes

$=\frac{a + b\times0}{c - d\times0}$

$=\frac{a}{c}$

Answer 2

Answer:

a/c

Step-by-step explanation: