Question

Find the limit as x approaches infinity for (3|x|-2x)/(7x-5). Find the limit now as x approaches negative infinity.

Answer 1

when x approaches +infinity
x > 0 so, |x| = x
when x approaches -infinity
x < 0 so, |x| = -x

Answer 2

\[\lim_{x \rightarrow \infty} \ \frac{ 3|x|-2 }{ 7x-5 } \]
and then the same again for -infinity. I know the answers are -5/7 for negative infinity and 1/7 for positive infinity. I just don't know how to get there. Please don't use l'hopitals or anything. Haven't learned that yet

Answer 3

Oh that makes sense. thanks!

Answer 4

good :)
so now can you get those answers ?