Question

Lim x → ∞ (12x^8-3)/3x^8-2x^7

Answer 1

Divide through all terms by the highest power of
`x`:

`(12x^8-3)/(3x^8-2x^7)=\frac{12-\frac3{x^8}}{3-\frac2x}`

As
`x\to\infty`, the terms with
`x` in the denominator will vanish, leaving us with

`\displaystyle\lim_(x\to\infty)(12x^8-3)/(3x^8-2x^7)=\frac{12}3=4`