Question

How do infinite limits work?

Answer 1

\[\lim_{x \rightarrow \infty} \frac{ 5x+7 }{ 13x^2+10x +2 }\]

Answer 2

Do I divide it all by the highest power term and get \[\lim_{x \rightarrow \infty} \frac{ \frac{ 5 }{ x } +\frac{ 7 }{ x^2 } }{ 13 + \frac{ 10 }{ x } + \frac{ 2 }{ x^2 } }\]

Answer 3

What do I do next?

Answer 4

now x approaches ∞
and (anything)/∞ = 0

the numerator becomes 0

and the denominator becomes 13

simplifying u get 0 :)

Answer 5

so. \[\frac{ 0 + 0 }{ 13 + 0 + 0 } = 0\]

Answer 6

yes :)

Answer 7

Just to check if I got it, \[\lim_{x \rightarrow \infty} \frac{ 4x^2 + x + 6 }{ 3x^2 + 1 } = \frac{ 4 }{ 3 }\]

Answer 8

yea its 4/3 :)

Answer 9

Perfect. Thanks guys. :)

Answer 10

np B)