Question

Evaluate the limit

Answer 1

\[\lim_{x \rightarrow infinity}\frac{ 6x + 7 }{ 7x^2 - 10x + 4 }\]

Answer 2

6/7x^2?

Answer 3

wait, it is a really small number! 0!

Answer 4

what is the more rigorous way of doing this?

Answer 5

divide the numerator and denominator by x^2

Answer 6

each number in the numerator ?

Answer 7

yes

Answer 8

\[\lim_{x \rightarrow \infty} \frac{ 1 }{ x }\rightarrow 0\]
\[\lim_{x \rightarrow \infty }\frac{ 1 }{ x^2 }\rightarrow 0\]

Answer 9

gotcha, thanks!!

Answer 10

yw