Question

Limits as x goes to infinity.

Answer 1

using lhospital is 1

Answer 2

1

Answer 3

how did you get that answer?

Answer 4

One x on top one x on bottom is 1. The 5 doesn't matter.

Answer 5

consider a large number 100000000/(100000005)... seems obvious

Answer 6

No need for l'hopital's here..

\[\large \lim_{x\rightarrow\infty}\frac{x}{x-5} \]\[= \frac{\cancel{x}}{\cancel{x}(1-\frac{5}{x})}\]\[=\frac{1}{1-0} = 1\]

Answer 7

Whoops forgot the second limit there..

Answer 8

But in anycase.

Answer 9

\[1x/1\]

Answer 10

When x approaches infinity \[\ \lim_{x \rightarrow +\infty} x/(x-5)\] is equal to \[\lim_{x \rightarrow +\infty} x/x=1\] Generally, when you're trying to figure out the limit of a polynomial, as x approaches infinity, then you consider only the x that is raised to the largest power.

Answer 11

good