Question

lim of ( x - sqrt of x^2 + 4x) as x approaches infinity how do i solve using minimal amount of steps?

Answer 1

is it x - sqrt(x^2 +4x) or is it x- sqrt(x^2) + 4x ?

Answer 2

it x - sqrt(x^2 +4x)

Answer 3

? where the math wizzes at?

Answer 4

\[\lim_{x \rightarrow \infty}\frac{x-\sqrt{x^2+4x}}{1}\]
First step rationalize the numerator.

Answer 5

Second step divide top and bottom by \[\sqrt{x^2}\]

Answer 6

\[\text{ Since } \sqrt{x^2}=|x| \text{and} x>0, \text{ then } \sqrt{x^2}=x\]

Answer 7

Let me know if you have trouble figuring out any of the steps or what to do after step 2 once you are done with step 2.

Answer 8

could u continue from step 2..

Answer 9

Draw me what you have so far

Answer 10

show me what you have so far and i will copy and paste what i just wrote

Answer 11

Hello?