Michelle M.

# What is the limit of the square root of x^2 + 4x + 1 subtracted by x, as x approaches positive infinity?

Hello ! I've tried to solve for this problem, but I can't seem to find an answer wherein the limit exists. I would appreciate assistance with regards to determining what I did wrong for my solutions. Thank you in advance !

## 2 Answers By Expert Tutors

By:

Michelle M.

thank you so much !!
Report

01/23/21

Tutor
New to Wyzant

Online Mathematics tutor

Michelle M.

Thank you ! But I think I misworded my post because the expression is supposed to be Lim x-->+∞ { ( √( x2 + 4x + 1) ) - x }. Will the same general steps apply ?
Report

01/23/21

Al P.

Steps are a little more complex. See tutor Tom K's answer --- multiplying by conjugate/conjugate is a standard procedure in that case, as he has shown.
Report

01/23/21

Michelle M.

Thank you!
Report

01/25/21

## Still looking for help? Get the right answer, fast.

Get a free answer to a quick problem.
Most questions answered within 4 hours.

#### OR

Choose an expert and meet online. No packages or subscriptions, pay only for the time you need.