Question

Please help! Will award medal!
lim x-->infinity of (9x^4 +3) / 4x^4
I could really use someone to guide me!

Answer 1

\[\frac{ 9x ^{4}+3 }{ 4x ^{4} }=\frac{ 9 }{ 4 }+\frac{ 3 }{ 4x ^{4} }\]

Answer 2

am I trying to get the denominators to be equal now?

Answer 3

now substitute by x=infinity

Answer 4

What does that mean? I am so sorry, my book is doing a crap job of explaining this

Answer 5

now you have
\[ \lim_{x \rightarrow \infty}(\frac{ 9 }{ 4 }+\frac{ 3 }{ 4x ^{4} })\]

Answer 6

\[=\frac{ 9 }{ 4 }+\frac{ 3 }{ 4*\infty }\]

Answer 7

how would I plug that in to a calculator?

Answer 8

The limit is \[\infty\] isn't it?

Answer 9

3/4*infinty =0